Search a number
-
+
14400222102324 = 22321745475174791
BaseRepresentation
bin1101000110001101000000…
…0111111000001100110100
31212222122111020102021212100
43101203100013320030310
53341413123324233244
650343212023422100
73014244633162162
oct321432007701464
955878436367770
1014400222102324
114652110a66823
121746a392b4930
13805c205b7886
1437ad8dd28232
1519e8b2069b69
hexd18d01f8334

14400222102324 has 72 divisors (see below), whose sum is σ = 38550254678208. Its totient is φ = 4516722305280.

The previous prime is 14400222102271. The next prime is 14400222102353. The reversal of 14400222102324 is 42320122200441.

It is a happy number.

14400222102324 is a `hidden beast` number, since 1 + 4 + 400 + 2 + 2 + 21 + 0 + 232 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195369 + ... + 5370159.

It is an arithmetic number, because the mean of its divisors is an integer number (535420203864).

Almost surely, 214400222102324 is an apocalyptic number.

It is an amenable number.

14400222102324 is an abundant number, since it is smaller than the sum of its proper divisors (24150032575884).

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

14400222102324 is a wasteful number, since it uses less digits than its factorization.

14400222102324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5179365 (or 5179360 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 14400222102324 its reverse (42320122200441), we get a palindrome (56720344302765).

The spelling of 14400222102324 in words is "fourteen trillion, four hundred billion, two hundred twenty-two million, one hundred two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 4547 9094 13641 18188 27282 40923 54564 77299 81846 154598 163692 231897 309196 463794 695691 927588 1391382 2782764 5174791 10349582 15524373 20699164 31048746 46573119 62097492 87971447 93146238 175942894 186292476 263914341 351885788 527828682 791743023 1055657364 1583486046 3166972092 23529774677 47059549354 70589324031 94119098708 141178648062 211767972093 282357296124 400006169509 423535944186 800012339018 847071888372 1200018508527 1600024678036 2400037017054 3600055525581 4800074034108 7200111051162 14400222102324