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114100374648 = 233131721512137
BaseRepresentation
bin110101001000011101…
…0011000110001111000
3101220111211222120221210
41222100322120301320
53332134143442043
6124230023003120
711146341116331
oct1522072306170
9356454876853
10114100374648
1144431761297
121a143b994a0
13a9b4b637b0
1457459c5288
152e7c098633
hex1a90e98c78

114100374648 has 64 divisors (see below), whose sum is σ = 325263526560. Its totient is φ = 33042640896.

The previous prime is 114100374637. The next prime is 114100374649. The reversal of 114100374648 is 846473001411.

It is a super-2 number, since 2×1141003746482 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114100374649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10750765 + ... + 10761372.

Almost surely, 2114100374648 is an apocalyptic number.

It is an amenable number.

114100374648 is an abundant number, since it is smaller than the sum of its proper divisors (211163151912).

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

114100374648 is a wasteful number, since it uses less digits than its factorization.

114100374648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21512176 (or 21512172 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 114100374648 in words is "one hundred fourteen billion, one hundred million, three hundred seventy-four thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 21512137 43024274 64536411 86048548 129072822 172097096 258145644 279657781 365706329 516291288 559315562 731412658 838973343 1097118987 1118631124 1462825316 1677946686 2194237974 2237262248 2925650632 3355893372 4388475948 4754182277 6711786744 8776951896 9508364554 14262546831 19016729108 28525093662 38033458216 57050187324 114100374648