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40515041424 = 243111310158441
BaseRepresentation
bin100101101110111000…
…100111100010010000
310212120120012100111210
4211232320213202100
51130433322311144
630340133540120
72633000112204
oct455670474220
9125516170453
1040515041424
1116200759310
127a284a4640
133a889a2ac0
141d64b5ab04
1510c1d21ab9
hex96ee27890

40515041424 has 160 divisors (see below), whose sum is σ = 124181301888. Its totient is φ = 11220480000.

The previous prime is 40515041377. The next prime is 40515041431. The reversal of 40515041424 is 42414051504.

It is a junction number, because it is equal to n+sod(n) for n = 40515041391 and 40515041400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 664044 + ... + 722484.

Almost surely, 240515041424 is an apocalyptic number.

40515041424 is a gapful number since it is divisible by the number (44) 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 40515041424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62090650944).

40515041424 is an abundant number, since it is smaller than the sum of its proper divisors (83666260464).

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

40515041424 is a wasteful number, since it uses less digits than its factorization.

40515041424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58577 (or 58571 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 40515041424 its reverse (42414051504), we get a palindrome (82929092928).

The spelling of 40515041424 in words is "forty billion, five hundred fifteen million, forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 101 104 132 143 156 176 202 208 264 286 303 312 404 429 528 572 606 624 808 858 1111 1144 1212 1313 1616 1716 2222 2288 2424 2626 3333 3432 3939 4444 4848 5252 6666 6864 7878 8888 10504 13332 14443 15756 17776 21008 26664 28886 31512 43329 53328 57772 58441 63024 86658 115544 116882 173316 175323 231088 233764 346632 350646 467528 642851 693264 701292 759733 935056 1285702 1402584 1519466 1928553 2279199 2571404 2805168 3038932 3857106 4558398 5142808 5902541 6077864 7714212 8357063 9116796 10285616 11805082 12155728 15428424 16714126 17707623 18233592 23610164 25071189 30856848 33428252 35415246 36467184 47220328 50142378 64927951 66856504 70830492 76733033 94440656 100284756 129855902 133713008 141660984 153466066 194783853 200569512 230199099 259711804 283321968 306932132 389567706 401139024 460398198 519423608 613864264 779135412 844063363 920796396 1038847216 1227728528 1558270824 1688126726 1841592792 2532190089 3116541648 3376253452 3683185584 5064380178 6752506904 10128760356 13505013808 20257520712 40515041424