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114312500154 = 2348379710667
BaseRepresentation
bin110101001110110001…
…1100101001110111010
3101221001122010200110000
41222131203211032322
53333103000001104
6124303041333430
711154525135126
oct1523543451672
9357048120400
10114312500154
1144530476326
121a1a3037276
13aa19aa4c48
145765c42586
152e909ea639
hex1a9d8e53ba

114312500154 has 80 divisors (see below), whose sum is σ = 259580347488. Its totient is φ = 37594322208.

The previous prime is 114312500149. The next prime is 114312500227. The reversal of 114312500154 is 451005213411.

114312500154 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 1 + 2 + 500 + 154 = 666.

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10711129 + ... + 10721795.

Almost surely, 2114312500154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114312500154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129790173744).

114312500154 is an abundant number, since it is smaller than the sum of its proper divisors (145267847334).

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

114312500154 is a wasteful number, since it uses less digits than its factorization.

114312500154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11561 (or 11552 counting only the distinct ones).

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

Adding to 114312500154 its reverse (451005213411), we get a palindrome (565317713565).

The spelling of 114312500154 in words is "one hundred fourteen billion, three hundred twelve million, five hundred thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 54 81 83 162 166 249 498 747 797 1494 1594 2241 2391 4482 4782 6723 7173 10667 13446 14346 21334 21519 32001 43038 64002 64557 66151 96003 129114 132302 192006 198453 288009 396906 576018 595359 864027 885361 1190718 1728054 1770722 1786077 2656083 3572154 5312166 5358231 7968249 8501599 10716462 15936498 17003198 23904747 25504797 47809494 51009594 71714241 76514391 143428482 153028782 229543173 459086346 688629519 705632717 1377259038 1411265434 2116898151 4233796302 6350694453 12701388906 19052083359 38104166718 57156250077 114312500154