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1398053944656 = 243312292633227
BaseRepresentation
bin10100010110000010100…
…000100011110101010000
311221122121210010221102000
4110112002200203311100
5140401203302212111
62550131311554000
7203002036312215
oct24260240436520
94848553127360
101398053944656
11499a03006096
121a6b5152b900
13a1ab3699535
144b947d93b0c
15265773a5c56
hex14582823d50

1398053944656 has 80 divisors (see below), whose sum is σ = 4016199345600. Its totient is φ = 465638620032.

The previous prime is 1398053944649. The next prime is 1398053944663. The reversal of 1398053944656 is 6564493508931.

1398053944656 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 0 + 539 + 4 + 46 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (1398053944649) and next prime (1398053944663).

It is a junction number, because it is equal to n+sod(n) for n = 1398053944593 and 1398053944602.

It is a congruent number.

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, 785686 + ... + 1847541.

It is an arithmetic number, because the mean of its divisors is an integer number (50202491820).

Almost surely, 21398053944656 is an apocalyptic number.

1398053944656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1398053944656 is an abundant number, since it is smaller than the sum of its proper divisors (2618145400944).

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

1398053944656 is a wasteful number, since it uses less digits than its factorization.

1398053944656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634473 (or 2634461 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 1398053944656 in words is "one trillion, three hundred ninety-eight billion, fifty-three million, nine hundred forty-four thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1229 2458 3687 4916 7374 9832 11061 14748 19664 22122 29496 33183 44244 58992 66366 88488 132732 176976 265464 530928 2633227 5266454 7899681 10532908 15799362 21065816 23699043 31598724 42131632 47398086 63197448 71097129 94796172 126394896 142194258 189592344 284388516 379184688 568777032 1137554064 3236235983 6472471966 9708707949 12944943932 19417415898 25889887864 29126123847 38834831796 51779775728 58252247694 77669663592 87378371541 116504495388 155339327184 174756743082 233008990776 349513486164 466017981552 699026972328 1398053944656