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15042433152 = 273193595743
BaseRepresentation
bin11100000001001100…
…10101000010000000
31102211022222210000210
432000212111002000
5221301330330102
610524351314120
71041523400145
oct160046250200
942738883023
1015042433152
11641a07473a
122ab981b940
131559585226
14a29b0c3cc
155d08e736c
hex380995080

15042433152 has 128 divisors (see below), whose sum is σ = 42183936000. Its totient is φ = 4736185344.

The previous prime is 15042433141. The next prime is 15042433169. The reversal of 15042433152 is 25133424051.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2616393 + ... + 2622135.

It is an arithmetic number, because the mean of its divisors is an integer number (329562000).

Almost surely, 215042433152 is an apocalyptic number.

15042433152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15042433152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21091968000).

15042433152 is an abundant number, since it is smaller than the sum of its proper divisors (27141502848).

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

15042433152 is a wasteful number, since it uses less digits than its factorization.

15042433152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6138 (or 6126 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 15042433152 in words is "fifteen billion, forty-two million, four hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 359 384 456 608 718 912 1077 1216 1436 1824 2154 2432 2872 3648 4308 5743 5744 6821 7296 8616 11486 11488 13642 17229 17232 20463 22972 22976 27284 34458 34464 40926 45944 45952 54568 68916 68928 81852 91888 109117 109136 137832 137856 163704 183776 218234 218272 275664 327351 327408 367552 436468 436544 551328 654702 654816 735104 872936 873088 1102656 1309404 1309632 1745872 2061737 2205312 2618808 2619264 3491744 4123474 5237616 6185211 6983488 8246948 10475232 12370422 13966976 16493896 20950464 24740844 32987792 39173003 41900928 49481688 65975584 78346006 98963376 117519009 131951168 156692012 197926752 235038018 263902336 313384024 395853504 470076036 626768048 791707008 940152072 1253536096 1880304144 2507072192 3760608288 5014144384 7521216576 15042433152