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1402444412244 = 22321761167224951
BaseRepresentation
bin10100011010001000001…
…100110111010101010100
311222001221202120210200200
4110122020030313111110
5140434201232142434
62552135110540500
7203215610546241
oct24321014672524
94861852523620
101402444412244
114a08563443a7
121a7977967730
13a2333172755
144bc4310a5c8
1526732a5a199
hex14688337554

1402444412244 has 144 divisors (see below), whose sum is σ = 3837997852416. Its totient is φ = 430176384000.

The previous prime is 1402444412231. The next prime is 1402444412273. The reversal of 1402444412244 is 4422144442041.

1402444412244 is a `hidden beast` number, since 1 + 402 + 4 + 4 + 4 + 4 + 1 + 2 + 244 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1402444412199 and 1402444412208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6121969 + ... + 6346919.

It is an arithmetic number, because the mean of its divisors is an integer number (26652762864).

Almost surely, 21402444412244 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 1402444412244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1918998926208).

1402444412244 is an abundant number, since it is smaller than the sum of its proper divisors (2435553440172).

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

1402444412244 is a wasteful number, since it uses less digits than its factorization.

1402444412244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225206 (or 225201 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 36.

Adding to 1402444412244 its reverse (4422144442041), we get a palindrome (5824588854285).

The spelling of 1402444412244 in words is "one trillion, four hundred two billion, four hundred forty-four million, four hundred twelve thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 167 183 204 244 306 334 366 501 549 612 668 732 1002 1037 1098 1503 2004 2074 2196 2839 3006 3111 4148 5678 6012 6222 8517 9333 10187 11356 12444 17034 18666 20374 25551 30561 34068 37332 40748 51102 61122 91683 102204 122244 173179 183366 224951 346358 366732 449902 519537 674853 692716 899804 1039074 1349706 1558611 2024559 2078148 2699412 3117222 3824167 4049118 6234444 7648334 8098236 11472501 13722011 15296668 22945002 27444022 34417503 37566817 41166033 45890004 54888044 68835006 75133634 82332066 112700451 123498099 137670012 150267268 164664132 225400902 233274187 246996198 338101353 450801804 466548374 493992396 638635889 676202706 699822561 933096748 1277271778 1352405412 1399645122 1915907667 2099467683 2291575837 2554543556 2799290244 3831815334 4198935366 4583151674 5747723001 6874727511 7663630668 8397870732 9166303348 11495446002 13749455022 20624182533 22990892004 27498910044 38956789229 41248365066 77913578458 82496730132 116870367687 155827156916 233740735374 350611103061 467481470748 701222206122 1402444412244