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1415113344 = 27321228397
BaseRepresentation
bin101010001011000…
…1110101010000000
310122121210012120100
41110112032222000
510344232111334
6352230442400
750032156611
oct12426165200
93577705510
101415113344
11666881667
12335b03400
13197240898
14d5d27c08
158437cc99
hex5458ea80

1415113344 has 48 divisors (see below), whose sum is σ = 4072139370. Its totient is φ = 471704064.

The previous prime is 1415113339. The next prime is 1415113363. The reversal of 1415113344 is 4433115141.

1415113344 is a `hidden beast` number, since 141 + 511 + 3 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1410753600 + 4359744 = 37560^2 + 2088^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 613047 + ... + 615350.

Almost surely, 21415113344 is an apocalyptic number.

It is an amenable number.

1415113344 is an abundant number, since it is smaller than the sum of its proper divisors (2657026026).

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

1415113344 is a wasteful number, since it uses less digits than its factorization.

1415113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228417 (or 1228402 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 1415113344 is about 37617.9922909238. The cubic root of 1415113344 is about 1122.7000502244.

Adding to 1415113344 its reverse (4433115141), we get a palindrome (5848228485).

It can be divided in two parts, 14151 and 13344, that added together give a triangular number (27495 = T234).

The spelling of 1415113344 in words is "one billion, four hundred fifteen million, one hundred thirteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1228397 2456794 3685191 4913588 7370382 9827176 11055573 14740764 19654352 22111146 29481528 39308704 44222292 58963056 78617408 88444584 117926112 157234816 176889168 235852224 353778336 471704448 707556672 1415113344