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40307134032 = 24331113216421
BaseRepresentation
bin100101100010011111…
…100000111001010000
310212001001222120012000
4211202133200321100
51130022111242112
630303345434000
72624563662204
oct454237407120
9125031876160
1040307134032
1116104365420
12798a93b900
133a548aa589
141d452bab04
1510ad9547dc
hex9627e0e50

40307134032 has 160 divisors (see below), whose sum is σ = 126329473920. Its totient is φ = 12203136000.

The previous prime is 40307133991. The next prime is 40307134069. The reversal of 40307134032 is 23043170304.

It is a super-2 number, since 2×403071340322 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40307133987 and 40307134005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6274182 + ... + 6280602.

It is an arithmetic number, because the mean of its divisors is an integer number (789559212).

Almost surely, 240307134032 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 40307134032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63164736960).

40307134032 is an abundant number, since it is smaller than the sum of its proper divisors (86022339888).

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

40307134032 is a wasteful number, since it uses less digits than its factorization.

40307134032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7770 (or 7758 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The spelling of 40307134032 in words is "forty billion, three hundred seven million, one hundred thirty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1321 1584 2376 2642 3963 4752 5284 6421 7926 10568 11889 12842 14531 15852 19263 21136 23778 25684 29062 31704 35667 38526 43593 47556 51368 57789 58124 63408 70631 71334 77052 87186 95112 102736 115578 116248 130779 141262 142668 154104 173367 174372 190224 211893 231156 232496 261558 282524 285336 308208 346734 348744 392337 423786 462312 523116 565048 570672 635679 693468 697488 784674 847572 924624 1046232 1130096 1271358 1386936 1569348 1695144 1907037 2092464 2542716 2773872 3138696 3390288 3814074 5085432 6277392 7628148 8482141 10170864 15256296 16964282 25446423 30512592 33928564 50892846 67857128 76339269 93303551 101785692 135714256 152678538 186607102 203571384 229017807 279910653 305357076 373214204 407142768 458035614 559821306 610714152 746428408 839731959 916071228 1119642612 1221428304 1492856816 1679463918 1832142456 2239285224 2519195877 3358927836 3664284912 4478570448 5038391754 6717855672 10076783508 13435711344 20153567016 40307134032