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424149401376 = 25331925837561
BaseRepresentation
bin1100010110000010100…
…01100011111100100000
31111112210200221001212000
412023001101203330200
523422124221321001
6522503533404000
742433550266011
oct6130121437440
91445720831760
10424149401376
11153976309058
126a252939600
1330cc6886c5c
14167595ad008
15b076a9ba86
hex62c1463f20

424149401376 has 96 divisors (see below), whose sum is σ = 1302213124800. Its totient is φ = 133941911040.

The previous prime is 424149401369. The next prime is 424149401393. The reversal of 424149401376 is 673104941424.

424149401376 is a `hidden beast` number, since 4 + 24 + 1 + 494 + 0 + 137 + 6 = 666.

424149401376 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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, 12902365 + ... + 12935196.

It is an arithmetic number, because the mean of its divisors is an integer number (13564720050).

Almost surely, 2424149401376 is an apocalyptic number.

It is an amenable number.

424149401376 is an abundant number, since it is smaller than the sum of its proper divisors (878063723424).

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

424149401376 is a wasteful number, since it uses less digits than its factorization.

424149401376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25837599 (or 25837585 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 424149401376 in words is "four hundred twenty-four billion, one hundred forty-nine million, four hundred one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 25837561 51675122 77512683 103350244 155025366 206700488 232538049 310050732 413400976 465076098 490913659 620101464 697614147 826801952 930152196 981827318 1240202928 1395228294 1472740977 1860304392 1963654636 2480405856 2790456588 2945481954 3720608784 3927309272 4418222931 5580913176 5890963908 7441217568 7854618544 8836445862 11161826352 11781927816 13254668793 15709237088 17672891724 22323652704 23563855632 26509337586 35345783448 47127711264 53018675172 70691566896 106037350344 141383133792 212074700688 424149401376