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314042332202244 = 223310613407804409
BaseRepresentation
bin100011101100111101010110…
…1101001111100010100000100
31112011221011011002101020011000
41013121322231221330110010
5312130232144020432434
63031525020013213300
7123101544515002662
oct10731725551742404
91464834132336130
10314042332202244
1191077672509218
122b27b611791230
13106300ac649939
145779a310c3c32
152648e65d76b99
hex11d9eada7c504

314042332202244 has 96 divisors (see below), whose sum is σ = 815191410700800. Its totient is φ = 104551288807680.

The previous prime is 314042332202173. The next prime is 314042332202273. The reversal of 314042332202244 is 442202233240413.

314042332202244 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 423 + 3 + 2 + 2 + 0 + 224 + 4 = 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 = 314042332202199 and 314042332202208.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389999112 + ... + 390803520.

It is an arithmetic number, because the mean of its divisors is an integer number (8491577194800).

Almost surely, 2314042332202244 is an apocalyptic number.

It is an amenable number.

314042332202244 is an abundant number, since it is smaller than the sum of its proper divisors (501149078498556).

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

314042332202244 is a wasteful number, since it uses less digits than its factorization.

314042332202244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808890 (or 808882 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 314042332202244 its reverse (442202233240413), we get a palindrome (756244565442657).

The spelling of 314042332202244 in words is "three hundred fourteen trillion, forty-two billion, three hundred thirty-two million, two hundred two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1061 2122 3183 3407 4244 6366 6814 9549 10221 12732 13628 19098 20442 28647 30663 38196 40884 57294 61326 91989 114588 122652 183978 367956 804409 1608818 2413227 3217636 3614827 4826454 7229654 7239681 9652908 10844481 14459308 14479362 21688962 21719043 28958724 32533443 43377924 43438086 65066886 86876172 97600329 130133772 195200658 390401316 853477949 1706955898 2560433847 2740621463 3413911796 5120867694 5481242926 7681301541 8221864389 10241735388 10962485852 15362603082 16443728778 23043904623 24665593167 30725206164 32887457556 46087809246 49331186334 73996779501 92175618492 98662372668 147993559002 295987118004 2907799372243 5815598744486 8723398116729 11631197488972 17446796233458 26170194350187 34893592466916 52340388700374 78510583050561 104680777400748 157021166101122 314042332202244