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141151441011432 = 233191392226925423
BaseRepresentation
bin100000000110000001100001…
…100000000100001011101000
3200111202221112121122110000120
4200012001201200010023220
5122000111122344331212
61220112024332003240
741505566202301635
oct4006014140041350
9614687477573016
10141151441011432
1140a7aa98705525
12139b8118000520
13609b6a6966177
1426bdaa263118c
15114ba160c888c
hex8060618042e8

141151441011432 has 64 divisors (see below), whose sum is σ = 374123471232000. Its totient is φ = 44253461985984.

The previous prime is 141151441011431. The next prime is 141151441011437. The reversal of 141151441011432 is 234110144151141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 141151441011393 and 141151441011402.

It is not an unprimeable number, because it can be changed into a prime (141151441011431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1113399328 + ... + 1113526095.

It is an arithmetic number, because the mean of its divisors is an integer number (5845679238000).

Almost surely, 2141151441011432 is an apocalyptic number.

141151441011432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

141151441011432 is an abundant number, since it is smaller than the sum of its proper divisors (232972030220568).

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

141151441011432 is a wasteful number, since it uses less digits than its factorization.

141151441011432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226925590 (or 2226925586 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

Adding to 141151441011432 its reverse (234110144151141), we get a palindrome (375261585162573).

The spelling of 141151441011432 in words is "one hundred forty-one trillion, one hundred fifty-one billion, four hundred forty-one million, eleven thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 139 152 228 278 417 456 556 834 1112 1668 2641 3336 5282 7923 10564 15846 21128 31692 63384 2226925423 4453850846 6680776269 8907701692 13361552538 17815403384 26723105076 42311583037 53446210152 84623166074 126934749111 169246332148 253869498222 309542633797 338492664296 507738996444 619085267594 928627901391 1015477992888 1238170535188 1857255802782 2476341070376 3714511605564 5881310042143 7429023211128 11762620084286 17643930126429 23525240168572 35287860252858 47050480337144 70575720505716 141151441011432