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30312532320240 = 24355316131477409
BaseRepresentation
bin1101110010001101011111…
…01110001001111111110000
310222022211221111101121200010
412321012233232021333300
512433120031233221430
6144245215103254520
76246002544313422
oct671065756117760
9128284844347603
1030312532320240
119727522281005
1234969318aa440
1313bb5c8792861
1476b1c4ab6812
15378772807cb0
hex1b91afb89ff0

30312532320240 has 160 divisors (see below), whose sum is σ = 95801268594240. Its totient is φ = 7925903884288.

The previous prime is 30312532320199. The next prime is 30312532320247. The reversal of 30312532320240 is 4202323521303.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30312532320198 and 30312532320207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30312532320247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19778656 + ... + 21256064.

It is an arithmetic number, because the mean of its divisors is an integer number (598757928714).

Almost surely, 230312532320240 is an apocalyptic number.

30312532320240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30312532320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47900634297120).

30312532320240 is an abundant number, since it is smaller than the sum of its proper divisors (65488736274000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30312532320240 is a wasteful number, since it uses less digits than its factorization.

30312532320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1479091 (or 1479085 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 30312532320240 its reverse (4202323521303), we get a palindrome (34514855841543).

The spelling of 30312532320240 in words is "thirty trillion, three hundred twelve billion, five hundred thirty-two million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 1613 2120 2544 3180 3226 4240 4839 6360 6452 8065 9678 12720 12904 16130 19356 24195 25808 32260 38712 48390 64520 77424 85489 96780 129040 170978 193560 256467 341956 387120 427445 512934 683912 854890 1025868 1282335 1367824 1477409 1709780 2051736 2564670 2954818 3419560 4103472 4432227 5129340 5909636 6839120 7387045 8864454 10258680 11819272 14774090 17728908 20517360 22161135 23638544 29548180 35457816 44322270 59096360 70915632 78302677 88644540 118192720 156605354 177289080 234908031 313210708 354578160 391513385 469816062 626421416 783026770 939632124 1174540155 1252842832 1566053540 1879264248 2349080310 2383060717 3132107080 3758528496 4698160620 4766121434 6264214160 7149182151 9396321240 9532242868 11915303585 14298364302 18792642480 19064485736 23830607170 28596728604 35745910755 38128971472 47661214340 57193457208 71491821510 95322428680 114386914416 126302218001 142983643020 190644857360 252604436002 285967286040 378906654003 505208872004 571934572080 631511090005 757813308006 1010417744008 1263022180010 1515626616012 1894533270015 2020835488016 2526044360020 3031253232024 3789066540030 5052088720040 6062506464048 7578133080060 10104177440080 15156266160120 30312532320240