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41312301342 = 231331432511583
BaseRepresentation
bin100110011110011001…
…111011000100011110
310221122010101100111220
4212132121323010132
51134101422120332
630551213554210
72661520524144
oct463631730436
9127563340456
1041312301342
111657a798504
12800b4a5966
133b84c06730
141ddc9b1594
15111bd06d2c
hex99e67b11e

41312301342 has 128 divisors (see below), whose sum is σ = 94420795392. Its totient is φ = 11959920000.

The previous prime is 41312301319. The next prime is 41312301343. The reversal of 41312301342 is 24310321314.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41312301343) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26096683 + ... + 26098265.

It is an arithmetic number, because the mean of its divisors is an integer number (737662464).

Almost surely, 241312301342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41312301342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47210397696).

41312301342 is an abundant number, since it is smaller than the sum of its proper divisors (53108494050).

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

41312301342 is a wasteful number, since it uses less digits than its factorization.

41312301342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926.

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

Adding to 41312301342 its reverse (24310321314), we get a palindrome (65622622656).

The spelling of 41312301342 in words is "forty-one billion, three hundred twelve million, three hundred one thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 26 31 39 43 62 78 86 93 129 186 251 258 403 502 559 753 806 1118 1209 1333 1506 1583 1677 2418 2666 3166 3263 3354 3999 4749 6526 7781 7998 9498 9789 10793 15562 17329 19578 20579 21586 23343 32379 34658 41158 46686 49073 51987 61737 64758 68069 98146 101153 103974 123474 136138 140309 147219 202306 204207 280618 294438 303459 334583 397333 408414 420927 606918 637949 669166 794666 841854 884897 1003749 1191999 1275898 1769794 1913847 2007498 2110139 2383998 2654691 3827694 4220278 4349579 5165329 5309382 6330417 8699158 10330658 12317323 12660834 13048737 15495987 17085319 24634646 26097474 27431807 30991974 34170638 36951969 51255957 54863614 73903938 82295421 102511914 160125199 164590842 222109147 320250398 444218294 480375597 529644889 666327441 960751194 1059289778 1332654882 1588934667 3177869334 6885383557 13770767114 20656150671 41312301342