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40515324432 = 2431127988301
BaseRepresentation
bin100101101110111001…
…101100101000010000
310212120120201201201120
4211232321230220100
51130433410340212
630340144002240
72633002401252
oct455671545020
9125516651646
1040515324432
1116200931a00
127a28600380
133a88a7186b
141d64bd1cd2
1510c1d7a88c
hex96ee6ca10

40515324432 has 120 divisors (see below), whose sum is σ = 116502126720. Its totient is φ = 12121824000.

The previous prime is 40515324431. The next prime is 40515324491. The reversal of 40515324432 is 23442351504.

It is a super-2 number, since 2×405153244322 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 40515324393 and 40515324402.

It is not an unprimeable number, because it can be changed into a prime (40515324431) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 414682 + ... + 502982.

It is an arithmetic number, because the mean of its divisors is an integer number (970851056).

Almost surely, 240515324432 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 40515324432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58251063360).

40515324432 is an abundant number, since it is smaller than the sum of its proper divisors (75986802288).

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

40515324432 is a wasteful number, since it uses less digits than its factorization.

40515324432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88413 (or 88396 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 40515324432 its reverse (23442351504), we get a palindrome (63957675936).

The spelling of 40515324432 in words is "forty billion, five hundred fifteen million, three hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 79 88 121 132 158 176 237 242 264 316 363 474 484 528 632 726 869 948 968 1264 1452 1738 1896 1936 2607 2904 3476 3792 5214 5808 6952 9559 10428 13904 19118 20856 28677 38236 41712 57354 76472 88301 114708 152944 176602 229416 264903 353204 458832 529806 706408 971311 1059612 1412816 1942622 2119224 2913933 3885244 4238448 5827866 6975779 7770488 10684421 11655732 13951558 15540976 20927337 21368842 23311464 27903116 32053263 41854674 42737684 46622928 55806232 64106526 76733569 83709348 85475368 111612464 128213052 153467138 167418696 170950736 230200707 256426104 306934276 334837392 460401414 512852208 613868552 844069259 920802828 1227737104 1688138518 1841605656 2532207777 3376277036 3683211312 5064415554 6752554072 10128831108 13505108144 20257662216 40515324432