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40433424432 = 24310926928729
BaseRepresentation
bin100101101010000001…
…010001100000110000
310212100212121210001020
4211222001101200300
51130301424040212
630324100335440
72630656302612
oct455201214060
9125325553036
1040433424432
1116169683255
127a050a4580
133a74ac771b
141d57d92db2
1510b9a9dd8c
hex96a051830

40433424432 has 80 divisors (see below), whose sum is σ = 105806844000. Its totient is φ = 13304051712.

The previous prime is 40433424413. The next prime is 40433424503. The reversal of 40433424432 is 23442433404.

It is a super-2 number, since 2×404334244322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40433424393 and 40433424402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1393044 + ... + 1421772.

It is an arithmetic number, because the mean of its divisors is an integer number (1322585550).

Almost surely, 240433424432 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 40433424432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52903422000).

40433424432 is an abundant number, since it is smaller than the sum of its proper divisors (65373419568).

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

40433424432 is a wasteful number, since it uses less digits than its factorization.

40433424432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29118 (or 29112 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 33.

Adding to 40433424432 its reverse (23442433404), we get a palindrome (63875857836).

The spelling of 40433424432 in words is "forty billion, four hundred thirty-three million, four hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 109 218 269 327 436 538 654 807 872 1076 1308 1614 1744 2152 2616 3228 4304 5232 6456 12912 28729 29321 57458 58642 86187 87963 114916 117284 172374 175926 229832 234568 344748 351852 459664 469136 689496 703704 1378992 1407408 3131461 6262922 7728101 9394383 12525844 15456202 18788766 23184303 25051688 30912404 37577532 46368606 50103376 61824808 75155064 92737212 123649616 150310128 185474424 370948848 842363009 1684726018 2527089027 3369452036 5054178054 6738904072 10108356108 13477808144 20216712216 40433424432