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12144243414004 = 221329104923473271
BaseRepresentation
bin1011000010111000110101…
…0100001001001111110100
31120222222102012111202020021
42300232031110021033310
53042432402303222004
641454553255014524
72362251446550142
oct260561524111764
946888365452207
1012144243414004
113962387897769
12144177666a444
136a127444b030
142ddadaa04592
15160d76449d54
hexb0b8d5093f4

12144243414004 has 96 divisors (see below), whose sum is σ = 23716359072000. Its totient is φ = 5402643563520.

The previous prime is 12144243413993. The next prime is 12144243414073. The reversal of 12144243414004 is 40041434244121.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3712698889 + ... + 3712702159.

It is an arithmetic number, because the mean of its divisors is an integer number (247045407000).

Almost surely, 212144243414004 is an apocalyptic number.

It is an amenable number.

12144243414004 is a deficient number, since it is larger than the sum of its proper divisors (11572115657996).

12144243414004 is a wasteful number, since it uses less digits than its factorization.

12144243414004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6713 (or 6711 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 34.

Adding to 12144243414004 its reverse (40041434244121), we get a palindrome (52185677658125).

The spelling of 12144243414004 in words is "twelve trillion, one hundred forty-four billion, two hundred forty-three million, four hundred fourteen thousand, four".

Divisors: 1 2 4 13 26 29 52 58 116 377 754 1049 1508 2098 2347 3271 4196 4694 6542 9388 13084 13637 27274 30421 30511 42523 54548 60842 61022 68063 85046 94859 121684 122044 136126 170092 189718 272252 379436 395473 790946 884819 1233167 1581892 1769638 2462003 2466334 3431279 3539276 4924006 4932668 6862558 7677037 9848012 13725116 15354074 30708148 32006039 44606627 64012078 71398087 89213254 99507091 99801481 128024156 142796174 178426508 199014182 199602962 222634073 285592348 398028364 399205924 445268146 890536292 928175131 1293592183 1856350262 2587184366 2894242949 3712700524 5174368732 5788485898 8053211813 11576971796 16106423626 32212847252 104691753569 209383507138 233543142577 418767014276 467086285154 934172570308 3036060853501 6072121707002 12144243414004