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1414182912 = 2113297937
BaseRepresentation
bin101010001001010…
…1011100000000000
310122120000221020220
41110102223200000
510344012323122
6352154503040
750021233152
oct12422534000
93576027226
101414182912
116662a660a
12335734a80
13196ca622c
14d5b64ad2
158424725c
hex544ab800

1414182912 has 96 divisors (see below), whose sum is σ = 3900733200. Its totient is φ = 455081984.

The previous prime is 1414182857. The next prime is 1414182923. The reversal of 1414182912 is 2192814141.

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

It is a congruent number.

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, 174208 + ... + 182144.

Almost surely, 21414182912 is an apocalyptic number.

1414182912 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 1414182912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1950366600).

1414182912 is an abundant number, since it is smaller than the sum of its proper divisors (2486550288).

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

1414182912 is an equidigital number, since it uses as much as digits as its factorization.

1414182912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7991 (or 7971 counting only the distinct ones).

The product of its digits is 4608, while the sum is 33.

The square root of 1414182912 is about 37605.6234092722. The cubic root of 1414182912 is about 1122.4539391784.

The spelling of 1414182912 in words is "one billion, four hundred fourteen million, one hundred eighty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1024 1392 1536 1856 2048 2784 3072 3712 5568 6144 7424 7937 11136 14848 15874 22272 23811 29696 31748 44544 47622 59392 63496 89088 95244 126992 178176 190488 230173 253984 380976 460346 507968 690519 761952 920692 1015936 1381038 1523904 1841384 2031872 2762076 3047808 3682768 4063744 5524152 6095616 7365536 8127488 11048304 12191232 14731072 16254976 22096608 24382464 29462144 44193216 48764928 58924288 88386432 117848576 176772864 235697152 353545728 471394304 707091456 1414182912