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155041407104 = 275364735323
BaseRepresentation
bin1001000001100100110…
…0000010000010000000
3112211012002202112022012
42100121030002002000
510020011100011404
6155120335232052
714126033134103
oct2203114020200
9484162675265
10155041407104
115a830917a01
122606b078628
131180ab7819c
14770b15073a
1540764b4a6e
hex2419302080

155041407104 has 64 divisors (see below), whose sum is σ = 315194639040. Its totient is φ = 75938343936.

The previous prime is 155041407077. The next prime is 155041407109. The reversal of 155041407104 is 401704140551.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (155041407109) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4371587 + ... + 4406909.

It is an arithmetic number, because the mean of its divisors is an integer number (4924916235).

Almost surely, 2155041407104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155041407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157597319520).

155041407104 is an abundant number, since it is smaller than the sum of its proper divisors (160153231936).

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

155041407104 is an equidigital number, since it uses as much as digits as its factorization.

155041407104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36037 (or 36025 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

Adding to 155041407104 its reverse (401704140551), we get a palindrome (556745547655).

The spelling of 155041407104 in words is "one hundred fifty-five billion, forty-one million, four hundred seven thousand, one hundred four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 647 848 1294 1696 2588 3392 5176 6784 10352 20704 34291 35323 41408 68582 70646 82816 137164 141292 274328 282584 548656 565168 1097312 1130336 1872119 2194624 2260672 3744238 4389248 4521344 7488476 14976952 22853981 29953904 45707962 59907808 91415924 119815616 182831848 239631232 365663696 731327392 1211260993 1462654784 2422521986 2925309568 4845043972 9690087944 19380175888 38760351776 77520703552 155041407104