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4313302140120 = 233547886786249
BaseRepresentation
bin111110110001000100110…
…101111000010011011000
3120021100101102221110110120
4332301010311320103120
51031132120321440440
613101300442113240
7623424435155211
oct76610465702330
916240342843416
104313302140120
1114132966796a6
12597b441ab820
13253986795c6c
1410ca9cdba408
15772eb39ddd0
hex3ec44d784d8

4313302140120 has 128 divisors (see below), whose sum is σ = 13216867200000. Its totient is φ = 1125601258496.

The previous prime is 4313302140013. The next prime is 4313302140127. The reversal of 4313302140120 is 210412033134.

It is a happy number.

4313302140120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×43133021401202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4313302140127) 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, 49966756 + ... + 50053004.

It is an arithmetic number, because the mean of its divisors is an integer number (103256775000).

Almost surely, 24313302140120 is an apocalyptic number.

4313302140120 is a gapful number since it is divisible by the number (40) 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 4313302140120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6608433600000).

4313302140120 is an abundant number, since it is smaller than the sum of its proper divisors (8903565059880).

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

4313302140120 is a wasteful number, since it uses less digits than its factorization.

4313302140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95177 (or 95173 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 4313302140120 its reverse (210412033134), we get a palindrome (4523714173254).

The spelling of 4313302140120 in words is "four trillion, three hundred thirteen billion, three hundred two million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 94 120 141 188 235 282 376 470 564 705 940 1128 1410 1880 2820 5640 8867 17734 26601 35468 44335 53202 70936 86249 88670 106404 133005 172498 177340 212808 258747 266010 344996 354680 416749 431245 517494 532020 689992 833498 862490 1034988 1064040 1250247 1293735 1666996 1724980 2069976 2083745 2500494 2587470 3333992 3449960 4053703 4167490 5000988 5174940 6251235 8107406 8334980 10001976 10349880 12161109 12502470 16214812 16669960 20268515 24322218 25004940 32429624 40537030 48644436 50009880 60805545 81074060 97288872 121611090 162148120 243222180 486444360 764769883 1529539766 2294309649 3059079532 3823849415 4588619298 6118159064 7647698830 9177238596 11471548245 15295397660 18354477192 22943096490 30590795320 35944184501 45886192980 71888369002 91772385960 107832553503 143776738004 179720922505 215665107006 287553476008 359441845010 431330214012 539162767515 718883690020 862660428024 1078325535030 1437767380040 2156651070060 4313302140120