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1398854983824 = 2432985612
BaseRepresentation
bin10100010110110010010…
…000010010000010010000
311221201200121102221120100
4110112302100102002100
5140404323333440244
62550343005012400
7203030634114324
oct24266220220220
94851617387510
101398854983824
1149a284196731
121a7135854100
13a1bb06243cc
144b9c250d984
15265c2885b69
hex145b2412090

1398854983824 has 45 divisors (see below), whose sum is σ = 3914890821049. Its totient is φ = 466280263680.

The previous prime is 1398854983817. The next prime is 1398854983831. The reversal of 1398854983824 is 4283894588931.

The square root of 1398854983824 is 1182732.

It is a perfect power (a square), and thus also a powerful number.

1398854983824 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 85 + 498 + 38 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (1398854983817) and next prime (1398854983831).

It can be written as a sum of positive squares in only one way, i.e., 507416878224 + 891438105600 = 712332^2 + 944160^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14143504 + ... + 14242064.

Almost surely, 21398854983824 is an apocalyptic number.

1398854983824 is the 1182732-nd square number.

It is an amenable number.

1398854983824 is an abundant number, since it is smaller than the sum of its proper divisors (2516035837225).

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

1398854983824 is an frugal number, since it uses more digits than its factorization.

1398854983824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197136 (or 98566 counting only the distinct ones).

The product of its digits is 477757440, while the sum is 72.

The spelling of 1398854983824 in words is "one trillion, three hundred ninety-eight billion, eight hundred fifty-four million, nine hundred eighty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 98561 197122 295683 394244 591366 788488 887049 1182732 1576976 1774098 2365464 3548196 4730928 7096392 14192784 9714270721 19428541442 29142812163 38857082884 58285624326 77714165768 87428436489 116571248652 155428331536 174856872978 233142497304 349713745956 466284994608 699427491912 1398854983824