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155016653440 = 2751122019411
BaseRepresentation
bin1001000001011110110…
…1100110101010000000
3112211010101011220122211
42100113231212222000
510014433230402230
6155114052511504
714125312546015
oct2202755465200
9484111156584
10155016653440
115a818950130
122606291b594
13118059bc14c
147707b4970c
15407422542a
hex2417b66a80

155016653440 has 64 divisors (see below), whose sum is σ = 404276404320. Its totient is φ = 56369689600.

The previous prime is 155016653387. The next prime is 155016653461. The reversal of 155016653440 is 44356610551.

It is a happy number.

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 (40).

It is a junction number, because it is equal to n+sod(n) for n = 155016653393 and 155016653402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11002666 + ... + 11016745.

Almost surely, 2155016653440 is an apocalyptic number.

155016653440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

155016653440 is an abundant number, since it is smaller than the sum of its proper divisors (249259750880).

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

155016653440 is a wasteful number, since it uses less digits than its factorization.

155016653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22019441 (or 22019429 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 155016653440 in words is "one hundred fifty-five billion, sixteen million, six hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 22019411 44038822 88077644 110097055 176155288 220194110 242213521 352310576 440388220 484427042 704621152 880776440 968854084 1211067605 1409242304 1761552880 1937708168 2422135210 2818484608 3523105760 3875416336 4844270420 7046211520 7750832672 9688540840 14092423040 15501665344 19377081680 31003330688 38754163360 77508326720 155016653440