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114645713472 = 263366345899
BaseRepresentation
bin110101011000101101…
…0101100001001000000
3101221220212010200012000
41222301122230021000
53334243300312342
6124400103304000
711166012325413
oct1526132541100
9357825120160
10114645713472
1144691575434
121a27674b000
13aa70b314a4
1457981bdb7a
152eaedba44c
hex1ab16ac240

114645713472 has 56 divisors (see below), whose sum is σ = 337037172000. Its totient is φ = 38215237248.

The previous prime is 114645713471. The next prime is 114645713473. The reversal of 114645713472 is 274317546411.

114645713472 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 4 + 571 + 3 + 4 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (114645713471) and next prime (114645713473).

It is not an unprimeable number, because it can be changed into a prime (114645713471) 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, 33171222 + ... + 33174677.

Almost surely, 2114645713472 is an apocalyptic number.

114645713472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114645713472 is an abundant number, since it is smaller than the sum of its proper divisors (222391458528).

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

114645713472 is an equidigital number, since it uses as much as digits as its factorization.

114645713472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66345920 (or 66345904 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

It can be divided in two parts, 1146457 and 13472, that added together give a square (1159929 = 10772).

The spelling of 114645713472 in words is "one hundred fourteen billion, six hundred forty-five million, seven hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 66345899 132691798 199037697 265383596 398075394 530767192 597113091 796150788 1061534384 1194226182 1592301576 1791339273 2123068768 2388452364 3184603152 3582678546 4246137536 4776904728 6369206304 7165357092 9553809456 12738412608 14330714184 19107618912 28661428368 38215237824 57322856736 114645713472