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151014432050001 = 35131074391101747
BaseRepresentation
bin100010010101100011001001…
…100101000000101101010001
3201210200211122102100022200000
4202111203021211000231101
5124243210024101100001
61253103023343320213
743544301256000062
oct4225431145005521
9653624572308600
10151014432050001
1144132951a54a03
1214b2b7378b0069
1366357a4ac6cc0
1429411cd484569
15126d372bbda86
hex8958c9940b51

151014432050001 has 96 divisors (see below), whose sum is σ = 245946919615488. Its totient is φ = 92041564196160.

The previous prime is 151014432049991. The next prime is 151014432050017. The reversal of 151014432050001 is 100050234410151.

151014432050001 is a `hidden beast` number, since 1 + 5 + 10 + 1 + 443 + 205 + 0 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 151014432050001 - 221 = 151014429952849 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (151014432050201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1484164210 + ... + 1484265956.

It is an arithmetic number, because the mean of its divisors is an integer number (2561947079328).

Almost surely, 2151014432050001 is an apocalyptic number.

It is an amenable number.

151014432050001 is a deficient number, since it is larger than the sum of its proper divisors (94932487565487).

151014432050001 is a wasteful number, since it uses less digits than its factorization.

151014432050001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106273 (or 106261 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 151014432050001 its reverse (100050234410151), we get a palindrome (251064666460152).

The spelling of 151014432050001 in words is "one hundred fifty-one trillion, fourteen billion, four hundred thirty-two million, fifty thousand, one".

Divisors: 1 3 9 13 27 39 81 107 117 243 321 351 963 1053 1391 2889 3159 4173 4391 8667 12519 13173 26001 37557 39519 57083 101747 112671 118557 171249 305241 338013 355671 469837 513747 915723 1067013 1322711 1409511 1541241 2747169 3968133 4228533 4623723 6107881 8241507 10886929 11904399 12685599 13871169 18323643 24724521 32660787 35713197 38056797 54970929 97982361 107139591 114170391 141530077 164912787 293947083 321418773 424590231 446771077 494738361 881841249 1273770693 1340313231 1484215083 2645523747 3821312079 4020939693 5808024001 11463936237 12062819079 17424072003 34391808711 36188457237 47804505239 52272216009 108565371711 143413515717 156816648027 430240547151 470449944081 621458568107 1290721641453 1411349832243 1864375704321 3872164924359 5593127112963 11616494773077 16779381338889 50338144016667 151014432050001