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14198978260224 = 2834684750109
BaseRepresentation
bin1100111010011111010100…
…0011100010110100000000
31212021102001012121212210000
43032213311003202310000
53330114001413311344
650110530501440000
72663561626560312
oct316476503426400
955242035555700
1014198978260224
11458483107464a
121713a35110000
137bcc5b693974
1437133c9837b2
151995347e9a69
hexce9f50e2d00

14198978260224 has 90 divisors (see below), whose sum is σ = 42338784051410. Its totient is φ = 4732992746496.

The previous prime is 14198978260223. The next prime is 14198978260237. The reversal of 14198978260224 is 42206287989141.

14198978260224 is a `hidden beast` number, since 1 + 4 + 1 + 9 + 89 + 78 + 260 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14196015417600 + 2962842624 = 3767760^2 + 54432^2 .

It is a super-2 number, since 2×141989782602242 (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 (14198978260223) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 342354319 + ... + 342395790.

Almost surely, 214198978260224 is an apocalyptic number.

It is an amenable number.

14198978260224 is an abundant number, since it is smaller than the sum of its proper divisors (28139805791186).

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

14198978260224 is an frugal number, since it uses more digits than its factorization.

14198978260224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684750137 (or 684750114 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 14198978260224 in words is "fourteen trillion, one hundred ninety-eight billion, nine hundred seventy-eight million, two hundred sixty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 3456 5184 6912 10368 20736 684750109 1369500218 2054250327 2739000436 4108500654 5478000872 6162750981 8217001308 10956001744 12325501962 16434002616 18488252943 21912003488 24651003924 32868005232 36976505886 43824006976 49302007848 55464758829 65736010464 73953011772 87648013952 98604015696 110929517658 131472020928 147906023544 175296027904 197208031392 221859035316 262944041856 295812047088 394416062784 443718070632 525888083712 591624094176 788832125568 887436141264 1183248188352 1577664251136 1774872282528 2366496376704 3549744565056 4732992753408 7099489130112 14198978260224