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155591454144 = 2637131883721
BaseRepresentation
bin1001000011100111111…
…0010010110111000000
3112212121102202210222210
42100321332102313000
510022122403013034
6155251104502120
714145462352560
oct2207176226700
9485542683883
10155591454144
115aa93357435
12261a331a940
1311897b03bc9
147760212da0
1540a99168e9
hex2439f92dc0

155591454144 has 112 divisors (see below), whose sum is σ = 474070899456. Its totient is φ = 44115302400.

The previous prime is 155591454133. The next prime is 155591454149. The reversal of 155591454144 is 441454195551.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 155591454093 and 155591454102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155591454149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265797 + ... + 617924.

It is an arithmetic number, because the mean of its divisors is an integer number (4232775888).

Almost surely, 2155591454144 is an apocalyptic number.

155591454144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

155591454144 is an abundant number, since it is smaller than the sum of its proper divisors (318479445312).

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

155591454144 is a wasteful number, since it uses less digits than its factorization.

155591454144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883874 (or 883864 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 48.

The spelling of 155591454144 in words is "one hundred fifty-five billion, five hundred ninety-one million, four hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 131 168 192 224 262 336 393 448 524 672 786 917 1048 1344 1572 1834 2096 2751 3144 3668 4192 5502 6288 7336 8384 11004 12576 14672 22008 25152 29344 44016 58688 88032 176064 883721 1767442 2651163 3534884 5302326 6186047 7069768 10604652 12372094 14139536 18558141 21209304 24744188 28279072 37116282 42418608 49488376 56558144 74232564 84837216 98976752 115767451 148465128 169674432 197953504 231534902 296930256 347302353 395907008 463069804 593860512 694604706 810372157 926139608 1187721024 1389209412 1620744314 1852279216 2431116471 2778418824 3241488628 3704558432 4862232942 5556837648 6482977256 7409116864 9724465884 11113675296 12965954512 19448931768 22227350592 25931909024 38897863536 51863818048 77795727072 155591454144