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114146926551 = 32731613073121
BaseRepresentation
bin110101001001110101…
…1111101111111010111
3101220122002120200011100
41222103223331333113
53332233103122201
6124234404441143
711150444603220
oct1522353757727
9356562520140
10114146926551
1144455a67439
121a1576a91b3
13a9c16b25b8
14574bc62247
152e811e1886
hex1a93afdfd7

114146926551 has 96 divisors (see below), whose sum is σ = 198407745536. Its totient is φ = 61865856000.

The previous prime is 114146926549. The next prime is 114146926571. The reversal of 114146926551 is 155629641411.

114146926551 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 4 + 6 + 92 + 6 + 551 = 666.

It is not a de Polignac number, because 114146926551 - 21 = 114146926549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 114146926497 and 114146926506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114146926511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36572271 + ... + 36575391.

Almost surely, 2114146926551 is an apocalyptic number.

114146926551 is a deficient number, since it is larger than the sum of its proper divisors (84260818985).

114146926551 is a wasteful number, since it uses less digits than its factorization.

114146926551 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3533 (or 3530 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 114146926551 in words is "one hundred fourteen billion, one hundred forty-six million, nine hundred twenty-six thousand, five hundred fifty-one".

Divisors: 1 3 7 9 21 31 61 63 93 183 217 279 307 427 549 651 921 1281 1891 1953 2149 2763 3121 3843 5673 6447 9363 9517 13237 17019 18727 19341 21847 28089 28551 39711 56181 65541 66619 85653 96751 119133 131089 168543 190381 196623 199857 290253 393267 571143 580537 599571 677257 870759 958147 1179801 1332667 1713429 1741611 2031771 2874441 3998001 4063759 5224833 5901811 6095313 6707029 8623323 11994003 12191277 17705433 20121087 29702557 36573831 41312677 53116299 58446967 60363261 89107671 123938031 175340901 207917899 267323013 371814093 409128769 526022703 623753697 1227386307 1811855977 1871261091 3682158921 5435567931 12682991839 16306703793 38048975517 114146926551