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7145110436454 = 23223311559357109
BaseRepresentation
bin110011111111001100111…
…0001001111101001100110
3221022001210000211221000200
41213332121301033221212
51414031141232431304
623110230213451330
71335134332424154
oct147763161175146
927261700757020
107145110436454
112305251628a91
1297492b040b46
133caa1cba5103
141a9b7a4723d4
15c5cd9ddde39
hex67f99c4fa66

7145110436454 has 96 divisors (see below), whose sum is σ = 16686007603200. Its totient is φ = 2203242085440.

The previous prime is 7145110436371. The next prime is 7145110436459. The reversal of 7145110436454 is 4546340115417.

7145110436454 is a `hidden beast` number, since 7 + 1 + 45 + 110 + 43 + 6 + 454 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7145110436459) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19829652 + ... + 20186760.

It is an arithmetic number, because the mean of its divisors is an integer number (173812579200).

Almost surely, 27145110436454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7145110436454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8343003801600).

7145110436454 is an abundant number, since it is smaller than the sum of its proper divisors (9540897166746).

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

7145110436454 is a wasteful number, since it uses less digits than its factorization.

7145110436454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358730 (or 358727 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 7145110436454 in words is "seven trillion, one hundred forty-five billion, one hundred ten million, four hundred thirty-six thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 138 186 207 279 414 558 713 1426 1559 2139 3118 4278 4677 6417 9354 12834 14031 28062 35857 48329 71714 96658 107571 144987 215142 289974 322713 357109 434961 645426 714218 869922 1071327 1111567 2142654 2223134 3213981 3334701 6427962 6669402 8213507 10004103 11070379 16427014 20008206 22140758 24640521 33211137 49281042 66422274 73921563 99633411 147843126 199266822 254618717 509237434 556732931 763856151 1113465862 1527712302 1670198793 2291568453 3340397586 4583136906 5010596379 10021192758 12804857413 17258720861 25609714826 34517441722 38414572239 51776162583 76829144478 103552325166 115243716717 155328487749 230487433434 310656975498 396950579803 793901159606 1190851739409 2381703478818 3572555218227 7145110436454