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1402214442304 = 261310758726833
BaseRepresentation
bin10100011001111010011…
…111100110010101000000
311222001100201212010020111
4110121322133212111000
5140433213344123204
62552100213521104
7203210116050034
oct24317237462500
94861321763214
101402214442304
114a07485515a5
121a7912943194
13a22c7624070
144bc207661c4
152671c780d04
hex1467a7e6540

1402214442304 has 112 divisors (see below), whose sum is σ = 3029829945408. Its totient is φ = 640011460608.

The previous prime is 1402214442283. The next prime is 1402214442323. The reversal of 1402214442304 is 4032444122041.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52243672 + ... + 52270504.

It is an arithmetic number, because the mean of its divisors is an integer number (27052053084).

Almost surely, 21402214442304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402214442304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514914972704).

1402214442304 is an abundant number, since it is smaller than the sum of its proper divisors (1627615503104).

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

1402214442304 is a wasteful number, since it uses less digits than its factorization.

1402214442304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27552 (or 27542 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 31.

Adding to 1402214442304 its reverse (4032444122041), we get a palindrome (5434658564345).

The spelling of 1402214442304 in words is "one trillion, four hundred two billion, two hundred fourteen million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 107 208 214 416 428 587 832 856 1174 1391 1712 2348 2782 3424 4696 5564 6848 7631 9392 11128 15262 18784 22256 26833 30524 37568 44512 53666 61048 62809 89024 107332 122096 125618 214664 244192 251236 348829 429328 488384 502472 697658 816517 858656 1004944 1395316 1633034 1717312 2009888 2790632 2871131 3266068 4019776 5581264 5742262 6532136 11162528 11484524 13064272 15750971 22325056 22969048 26128544 31501942 37324703 45938096 52257088 63003884 74649406 91876192 126007768 149298812 183752384 204762623 252015536 298597624 409525246 504031072 597195248 819050492 1008062144 1194390496 1638100984 1685353897 2388780992 3276201968 3370707794 6552403936 6741415588 13104807872 13482831176 21909600661 26965662352 43819201322 53931324704 87638402644 107862649408 175276805288 350553610576 701107221152 1402214442304