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141000422432 = 25171512576679
BaseRepresentation
bin1000001101010001000…
…1111011010000100000
3111110221120011121022212
42003110101323100200
54302232102004212
6144435200221252
713121056546532
oct2032421732040
9443846147285
10141000422432
1154886076341
12233b090a828
13103b0c1952c
146b78449852
153a03987e22
hex20d447b420

141000422432 has 96 divisors (see below), whose sum is σ = 297065905920. Its totient is φ = 65647411200.

The previous prime is 141000422419. The next prime is 141000422443. The reversal of 141000422432 is 234224000141.

It is a super-2 number, since 2×1410004224322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 141000422398 and 141000422407.

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, 21107669 + ... + 21114347.

It is an arithmetic number, because the mean of its divisors is an integer number (3094436520).

Almost surely, 2141000422432 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 141000422432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148532952960).

141000422432 is an abundant number, since it is smaller than the sum of its proper divisors (156065483488).

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

141000422432 is a wasteful number, since it uses less digits than its factorization.

141000422432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7114 (or 7106 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 141000422432 its reverse (234224000141), we get a palindrome (375224422573).

The spelling of 141000422432 in words is "one hundred forty-one billion, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 151 257 272 302 514 544 604 1028 1208 2056 2416 2567 4112 4369 4832 5134 6679 8224 8738 10268 13358 17476 20536 26716 34952 38807 41072 53432 69904 77614 82144 106864 113543 139808 155228 213728 227086 310456 454172 620912 659719 908344 1008529 1241824 1319438 1716503 1816688 2017058 2638876 3433006 3633376 4034116 5277752 6866012 8068232 10555504 13732024 16136464 17144993 21111008 27464048 29180551 32272928 34289986 54928096 58361102 68579972 116722204 137159944 233444408 259191953 274319888 466888816 518383906 548639776 933777632 1036767812 2073535624 4147071248 4406263201 8294142496 8812526402 17625052804 35250105608 70500211216 141000422432