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144200454253353 = 33179223433308999
BaseRepresentation
bin100000110010011001001000…
…110110100010101100101001
3200220120102120120222101111000
4200302121020312202230221
5122400040012242101403
61230404435115225213
742242065453242051
oct4062311066425451
9626512516871430
10144200454253353
1141a46084145303
121420b020448209
136260076983c64
1427874a6b96561
1511a0eb87497a3
hex832648da2b29

144200454253353 has 64 divisors (see below), whose sum is σ = 216286156800000. Its totient is φ = 94947797991168.

The previous prime is 144200454253231. The next prime is 144200454253399. The reversal of 144200454253353 is 353352454002441.

144200454253353 is a `hidden beast` number, since 1 + 4 + 4 + 2 + 0 + 0 + 4 + 542 + 53 + 3 + 53 = 666.

It is not a de Polignac number, because 144200454253353 - 237 = 144063015299881 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 144200454253299 and 144200454253308.

It is not an unprimeable number, because it can be changed into a prime (144200454258353) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 466515148 + ... + 466824146.

It is an arithmetic number, because the mean of its divisors is an integer number (3379471200000).

Almost surely, 2144200454253353 is an apocalyptic number.

It is an amenable number.

144200454253353 is a deficient number, since it is larger than the sum of its proper divisors (72085702546647).

144200454253353 is a wasteful number, since it uses less digits than its factorization.

144200454253353 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309843 (or 309837 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 45.

The spelling of 144200454253353 in words is "one hundred forty-four trillion, two hundred billion, four hundred fifty-four million, two hundred fifty-three thousand, three hundred fifty-three".

Divisors: 1 3 9 27 179 223 433 537 669 1299 1611 2007 3897 4833 6021 11691 39917 77507 96559 119751 232521 289677 308999 359253 697563 869031 926997 1077759 2092689 2607093 2780991 8342973 17284061 51852183 55310821 68906777 133796567 155556549 165932463 206720331 401389701 466669647 497797389 620160993 1204169103 1493392167 1860482979 3612507309 12334313083 23949585493 29836634441 37002939249 71848756479 89509903323 111008817747 215546269437 268529709969 333026453241 646638808311 805589129907 5340757564939 16022272694817 48066818084451 144200454253353