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314644553431432 = 237210144317939447
BaseRepresentation
bin100011110001010101110010…
…0110101100111100110001000
31112021001201120220212102020221
41013202223210311213212020
5312220114021134301212
63033105413512155424
7123163214231665600
oct10742534465474610
91467051526772227
10314644553431432
119128a007711114
122b358280398b74
1310674b1452c533
14579ac4036dc00
152659960c06807
hex11e2ae4d67988

314644553431432 has 96 divisors (see below), whose sum is σ = 694637671475520. Its totient is φ = 133211150217600.

The previous prime is 314644553431423. The next prime is 314644553431489. The reversal of 314644553431432 is 234134355446413.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 314644553431432.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8569533 + ... + 26508979.

It is an arithmetic number, because the mean of its divisors is an integer number (7235809077870).

Almost surely, 2314644553431432 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 314644553431432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347318835737760).

314644553431432 is an abundant number, since it is smaller than the sum of its proper divisors (379993118044088).

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

314644553431432 is a wasteful number, since it uses less digits than its factorization.

314644553431432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17940011 (or 17940000 counting only the distinct ones).

The product of its digits is 24883200, while the sum is 52.

The spelling of 314644553431432 in words is "three hundred fourteen trillion, six hundred forty-four billion, five hundred fifty-three million, four hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 196 202 392 404 443 707 808 886 1414 1772 2828 3101 3544 4949 5656 6202 9898 12404 19796 21707 24808 39592 43414 44743 86828 89486 173656 178972 313201 357944 626402 1252804 2192407 2505608 4384814 8769628 17539256 17939447 35878894 71757788 125576129 143515576 251152258 502304516 879032903 1004609032 1758065806 1811884147 3516131612 3623768294 7032263224 7247536588 7947175021 12683189029 14495073176 15894350042 25366378058 31788700084 50732756116 55630225147 63577400168 88782323203 101465512232 111260450294 177564646406 222520900588 355129292812 389411576029 445041801176 710258585624 778823152058 802664677121 1557646304116 1605329354242 3115292608232 3210658708484 5618652739847 6421317416968 11237305479694 22474610959388 39330569178929 44949221918776 78661138357858 157322276715716 314644553431432