Search a number
-
+
14453255606664 = 233737922224563
BaseRepresentation
bin1101001001010010100100…
…1010101001000110001000
31220011201101020022110010210
43102110221022221012020
53343300231413403124
650423422311441120
73021133101423000
oct322245112510610
956151336273123
1014453255606664
114672655aa3556
12175517a0861a0
1380ac2296cb84
1437d7814a3000
151a0e67dc0a29
hexd25292a9188

14453255606664 has 128 divisors (see below), whose sum is σ = 42671162880000. Its totient is φ = 4077229246272.

The previous prime is 14453255606651. The next prime is 14453255606687. The reversal of 14453255606664 is 46660655235441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10461954 + ... + 11762609.

It is an arithmetic number, because the mean of its divisors is an integer number (333368460000).

Almost surely, 214453255606664 is an apocalyptic number.

14453255606664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14453255606664 is an abundant number, since it is smaller than the sum of its proper divisors (28217907273336).

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

14453255606664 is a wasteful number, since it uses less digits than its factorization.

14453255606664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22224672 (or 22224654 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 57.

The spelling of 14453255606664 in words is "fourteen trillion, four hundred fifty-three billion, two hundred fifty-five million, six hundred six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 79 84 98 147 158 168 196 237 294 316 343 392 474 553 588 632 686 948 1029 1106 1176 1372 1659 1896 2058 2212 2744 3318 3871 4116 4424 6636 7742 8232 11613 13272 15484 23226 27097 30968 46452 54194 81291 92904 108388 162582 216776 325164 650328 22224563 44449126 66673689 88898252 133347378 155571941 177796504 266694756 311143882 466715823 533389512 622287764 933431646 1089003587 1244575528 1755740477 1866863292 2178007174 3267010761 3511480954 3733726584 4356014348 5267221431 6534021522 7022961908 7623025109 8712028696 10534442862 12290183339 13068043044 14045923816 15246050218 21068885724 22869075327 24580366678 26136086088 30492100436 36870550017 42137771448 45738150654 49160733356 60984200872 73741100034 86031283373 91476301308 98321466712 147482200068 172062566746 182952602616 258093850119 294964400136 344125133492 516187700238 602218983611 688250266984 1032375400476 1204437967222 1806656950833 2064750800952 2408875934444 3613313901666 4817751868888 7226627803332 14453255606664