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140312351352 = 233412392512377
BaseRepresentation
bin1000001010101101000…
…1001001001001111000
3111102011121102222020210
42002223101021021320
54244324430220402
6144243020351120
713065033210435
oct2025321111170
9442147388223
10140312351352
1154562734358
122323a3a54a0
13103014c5994
146b10cd8b8c
1539b337006c
hex20ab449278

140312351352 has 128 divisors (see below), whose sum is σ = 362430028800. Its totient is φ = 45239040000.

The previous prime is 140312351293. The next prime is 140312351353. The reversal of 140312351352 is 253153213041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140312351353) 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, 59027988 + ... + 59030364.

It is an arithmetic number, because the mean of its divisors is an integer number (2831484600).

Almost surely, 2140312351352 is an apocalyptic number.

140312351352 is a gapful number since it is divisible by the number (12) 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 140312351352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181215014400).

140312351352 is an abundant number, since it is smaller than the sum of its proper divisors (222117677448).

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

140312351352 is a wasteful number, since it uses less digits than its factorization.

140312351352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2917 (or 2913 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 140312351352 its reverse (253153213041), we get a palindrome (393465564393).

The spelling of 140312351352 in words is "one hundred forty billion, three hundred twelve million, three hundred fifty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 239 246 251 328 478 492 502 717 753 956 984 1004 1434 1506 1912 2008 2377 2868 3012 4754 5736 6024 7131 9508 9799 10291 14262 19016 19598 20582 28524 29397 30873 39196 41164 57048 58794 59989 61746 78392 82328 97457 117588 119978 123492 179967 194914 235176 239956 246984 292371 359934 389828 479912 568103 584742 596627 719868 779656 1136206 1169484 1193254 1439736 1704309 1789881 2272412 2338968 2386508 2459549 3408618 3579762 4544824 4773016 4919098 6817236 7159524 7378647 9838196 13634472 14319048 14757294 19676392 23292223 24461707 29514588 46584446 48923414 59029176 69876669 73385121 93168892 97846828 139753338 142593853 146770242 186337784 195693656 279506676 285187706 293540484 427781559 559013352 570375412 587080968 855563118 1140750824 1711126236 3422252472 5846347973 11692695946 17539043919 23385391892 35078087838 46770783784 70156175676 140312351352