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14993400193488 = 2432176323968647
BaseRepresentation
bin1101101000101110110001…
…0010101110000111010000
31222002100120211122110201100
43122023230102232013100
53431122440422142423
651515512320504400
73105144301566153
oct332135422560720
958070524573640
1014993400193488
114860735594232
1218219a347b100
13849b43ac5222
1439b98216dc9a
151b002d04b343
hexda2ec4ae1d0

14993400193488 has 120 divisors (see below), whose sum is σ = 44436045071808. Its totient is φ = 4703063049216.

The previous prime is 14993400193483. The next prime is 14993400193517. The reversal of 14993400193488 is 88439100439941.

14993400193488 is a `hidden beast` number, since 1 + 499 + 34 + 0 + 0 + 1 + 9 + 34 + 88 = 666.

It is a super-2 number, since 2×149934001934882 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14993400193481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14994381 + ... + 15963027.

Almost surely, 214993400193488 is an apocalyptic number.

14993400193488 is a gapful number since it is divisible by the number (18) 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 14993400193488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22218022535904).

14993400193488 is an abundant number, since it is smaller than the sum of its proper divisors (29442644878320).

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

14993400193488 is a wasteful number, since it uses less digits than its factorization.

14993400193488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975001 (or 974992 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 14993400193488 in words is "fourteen trillion, nine hundred ninety-three billion, four hundred million, one hundred ninety-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 6323 12646 18969 25292 37938 50584 56907 75876 101168 107491 113814 151752 214982 227628 303504 322473 429964 455256 644946 859928 910512 967419 968647 1289892 1719856 1934838 1937294 2579784 2905941 3869676 3874588 5159568 5811882 7739352 7749176 8717823 11623764 15478704 15498352 16466999 17435646 23247528 32933998 34871292 46495056 49400997 65867996 69742584 98801994 131735992 139485168 148202991 197603988 263471984 296405982 395207976 592811964 790415952 1185623928 2371247856 6124754981 12249509962 18374264943 24499019924 36748529886 48998039848 55122794829 73497059772 97996079696 104120834677 110245589658 146994119544 208241669354 220491179316 293988239088 312362504031 416483338708 440982358632 624725008062 832966677416 881964717264 937087512093 1249450016124 1665933354832 1874175024186 2498900032248 3748350048372 4997800064496 7496700096744 14993400193488