Search a number
-
+
3001542421240 = 2351159142980911
BaseRepresentation
bin101011101011011001110…
…111101010101011111000
3101121221111122121101121201
4223223121313222223320
5343134124324434430
610214520050543544
7426566006423026
oct53533167525370
911557448541551
103001542421240
11a57a464a0680
12405876597bb4
1318a076255aac
14a53bdabd716
1553124d6c8ca
hex2bad9deaaf8

3001542421240 has 128 divisors (see below), whose sum is σ = 7497629568000. Its totient is φ = 1072206374400.

The previous prime is 3001542421193. The next prime is 3001542421247. The reversal of 3001542421240 is 421242451003.

It is a junction number, because it is equal to n+sod(n) for n = 3001542421199 and 3001542421208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3001542421247) 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, 37056385 + ... + 37137295.

It is an arithmetic number, because the mean of its divisors is an integer number (58575231000).

Almost surely, 23001542421240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3001542421240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748814784000).

3001542421240 is an abundant number, since it is smaller than the sum of its proper divisors (4496087146760).

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

3001542421240 is a wasteful number, since it uses less digits than its factorization.

3001542421240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82421 (or 82417 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

Adding to 3001542421240 its reverse (421242451003), we get a palindrome (3422784872243).

The spelling of 3001542421240 in words is "three trillion, one billion, five hundred forty-two million, four hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 59 88 110 118 220 236 295 440 472 590 649 1180 1298 1429 2360 2596 2858 3245 5192 5716 6490 7145 11432 12980 14290 15719 25960 28580 31438 57160 62876 78595 80911 84311 125752 157190 161822 168622 314380 323644 337244 404555 421555 628760 647288 674488 809110 843110 890021 927421 1618220 1686220 1780042 1854842 3236440 3372440 3560084 3709684 4450105 4637105 4773749 7120168 7419368 8900210 9274210 9547498 17800420 18548420 19094996 23868745 35600840 37096840 38189992 47737490 52511239 95474980 105022478 115621819 190949960 210044956 231243638 262556195 420089912 462487276 525112390 578109095 924974552 1050224780 1156218190 1271840009 2100449560 2312436380 2543680018 4624872760 5087360036 6359200045 6821687321 10174720072 12718400090 13643374642 25436800180 27286749284 34108436605 50873600360 54573498568 68216873210 75038560531 136433746420 150077121062 272867492840 300154242124 375192802655 600308484248 750385605310 1500771210620 3001542421240