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114421432664 = 23711199992921
BaseRepresentation
bin110101010010000001…
…1001000000101011000
3101221100020010000202102
41222210003020011120
53333313341321124
6124321532222532
711160320062460
oct1524403100530
9357306100672
10114421432664
1144586a089a0
121a21360aa48
13aa36525456
1457764baba0
152e9a366aae
hex1aa40c8158

114421432664 has 64 divisors (see below), whose sum is σ = 267615360000. Its totient is φ = 44556998400.

The previous prime is 114421432663. The next prime is 114421432679. The reversal of 114421432664 is 466234124411.

It is a super-2 number, since 2×1144214326642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114421432663) 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, 1184924 + ... + 1277844.

It is an arithmetic number, because the mean of its divisors is an integer number (4181490000).

Almost surely, 2114421432664 is an apocalyptic number.

114421432664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114421432664 is an abundant number, since it is smaller than the sum of its proper divisors (153193927336).

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

114421432664 is a wasteful number, since it uses less digits than its factorization.

114421432664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94944 (or 94940 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The spelling of 114421432664 in words is "one hundred fourteen billion, four hundred twenty-one million, four hundred thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 1999 3998 7996 13993 15992 21989 27986 43978 55972 87956 92921 111944 153923 175912 185842 307846 371684 615692 650447 743368 1022131 1231384 1300894 2044262 2601788 4088524 5203576 7154917 8177048 14309834 28619668 57239336 185749079 371498158 742996316 1300243553 1485992632 2043239869 2600487106 4086479738 5200974212 8172959476 10401948424 14302679083 16345918952 28605358166 57210716332 114421432664