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1042041100626 = 23519532129213
BaseRepresentation
bin11110010100111100111…
…11010101100101010010
310200121200122011121200000
433022132133111211102
5114033100010210001
62114412421110430
7135166515132351
oct17123637254522
93617618147600
101042041100626
11371a22043059
12149b55558416
1377358185c46
1438613b2b998
151c18c52da86
hexf29e7d5952

1042041100626 has 96 divisors (see below), whose sum is σ = 2511109823040. Its totient is φ = 322856673984.

The previous prime is 1042041100621. The next prime is 1042041100631. The reversal of 1042041100626 is 6260011402401.

1042041100626 is a `hidden beast` number, since 1 + 0 + 4 + 20 + 4 + 1 + 10 + 0 + 626 = 666.

It is an interprime number because it is at equal distance from previous prime (1042041100621) and next prime (1042041100631).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1042041100626.

It is not an unprimeable number, because it can be changed into a prime (1042041100621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 575205 + ... + 1554008.

It is an arithmetic number, because the mean of its divisors is an integer number (26157393990).

Almost surely, 21042041100626 is an apocalyptic number.

1042041100626 is an abundant number, since it is smaller than the sum of its proper divisors (1469068722414).

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

1042041100626 is a wasteful number, since it uses less digits than its factorization.

1042041100626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2129302 (or 2129290 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 1042041100626 in words is "one trillion, forty-two billion, forty-one million, one hundred thousand, six hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 27 38 53 54 57 81 106 114 159 162 171 243 318 342 477 486 513 954 1007 1026 1431 1539 2014 2862 3021 3078 4293 4617 6042 8586 9063 9234 12879 18126 25758 27189 54378 81567 163134 244701 489402 2129213 4258426 6387639 12775278 19162917 38325834 40455047 57488751 80910094 112848289 114977502 121365141 172466253 225696578 242730282 338544867 344932506 364095423 517398759 677089734 728190846 1015634601 1034797518 1092286269 2031269202 2144117491 2184572538 3046903803 3276858807 4288234982 6093807606 6432352473 6553717614 9140711409 9830576421 12864704946 18281422818 19297057419 19661152842 27422134227 38594114838 54844268454 57891172257 115782344514 173673516771 347347033542 521020550313 1042041100626