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13914022390992 = 2432377136781559
BaseRepresentation
bin1100101001111001110001…
…0111001010110011010000
31211021011112010212212202100
43022132130113022303100
53310431404213002432
645332002540320400
72634153305625333
oct312363427126320
954234463785670
1013914022390992
1144849a39a1479
121688769b43100
1379c118592ba9
1436162987261a
15191e07c6b07c
hexca79c5cacd0

13914022390992 has 120 divisors (see below), whose sum is σ = 40555642308480. Its totient is φ = 4449097255680.

The previous prime is 13914022390951. The next prime is 13914022391033. The reversal of 13914022390992 is 29909322041931.

13914022390992 is a `hidden beast` number, since 1 + 3 + 9 + 140 + 22 + 390 + 9 + 92 = 666.

13914022390992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13914022390951) and next prime (13914022391033).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18012492 + ... + 18769067.

It is an arithmetic number, because the mean of its divisors is an integer number (337963685904).

Almost surely, 213914022390992 is an apocalyptic number.

13914022390992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13914022390992 is an abundant number, since it is smaller than the sum of its proper divisors (26641619917488).

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

13914022390992 is a wasteful number, since it uses less digits than its factorization.

13914022390992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36781681 (or 36781672 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 13914022390992 in words is "thirteen trillion, nine hundred fourteen billion, twenty-two million, three hundred ninety thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 71 72 74 111 142 144 148 213 222 284 296 333 426 444 568 592 639 666 852 888 1136 1278 1332 1704 1776 2556 2627 2664 3408 5112 5254 5328 7881 10224 10508 15762 21016 23643 31524 42032 47286 63048 94572 126096 189144 378288 36781559 73563118 110344677 147126236 220689354 294252472 331034031 441378708 588504944 662068062 882757416 1324136124 1360917683 1765514832 2611490689 2648272248 2721835366 4082753049 5222981378 5296544496 5443670732 7834472067 8165506098 10445962756 10887341464 12248259147 15668944134 16331012196 20891925512 21774682928 23503416201 24496518294 31337888268 32662024392 41783851024 47006832402 48993036588 62675776536 65324048784 94013664804 96625155493 97986073176 125351553072 188027329608 193250310986 195972146352 289875466479 376054659216 386500621972 579750932958 773001243944 869626399437 1159501865916 1546002487888 1739252798874 2319003731832 3478505597748 4638007463664 6957011195496 13914022390992