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314202504103332 = 2231317342412745179
BaseRepresentation
bin100011101110000111111100…
…0101001010000010110100100
31112012111110120202001212002220
41013130033320221100112210
5312140343212022301312
63032130345425032340
7123116244646463355
oct10734177051202644
91465443522055086
10314202504103332
1191129596362199
122b2a6672a856b0
13106422273b2c80
1457836a7783d2c
15264d1dc96cc8c
hex11dc3f8a505a4

314202504103332 has 96 divisors (see below), whose sum is σ = 794285813220480. Its totient is φ = 96096163768320.

The previous prime is 314202504103297. The next prime is 314202504103349. The reversal of 314202504103332 is 233301405202413.

It is a junction number, because it is equal to n+sod(n) for n = 314202504103293 and 314202504103302.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 113083519 + ... + 115828697.

It is an arithmetic number, because the mean of its divisors is an integer number (8273810554380).

Almost surely, 2314202504103332 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 314202504103332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397142906610240).

314202504103332 is an abundant number, since it is smaller than the sum of its proper divisors (480083309117148).

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

314202504103332 is a wasteful number, since it uses less digits than its factorization.

314202504103332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749613 (or 2749611 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

Adding to 314202504103332 its reverse (233301405202413), we get a palindrome (547503909305745).

The spelling of 314202504103332 in words is "three hundred fourteen trillion, two hundred two billion, five hundred four million, one hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 173 346 519 692 1038 2076 2249 4241 4498 6747 8482 8996 12723 13494 16964 25446 26988 50892 55133 110266 165399 220532 330798 661596 733693 1467386 2201079 2745179 2934772 4402158 5490358 8235537 8804316 9538009 10980716 16471074 19076018 28614027 32942148 35687327 38152036 57228054 71374654 107061981 114456108 142749308 214123962 428247924 474915967 949831934 1424747901 1899663868 2849495802 5698991604 6173907571 11642304139 12347815142 18521722713 23284608278 24695630284 34926912417 37043445426 46569216556 69853824834 74086890852 139707649668 151349953807 302699907614 454049861421 605399815228 908099722842 1816199445684 2014118616047 4028237232094 6042355848141 8056474464188 12084711696282 24169423392564 26183542008611 52367084017222 78550626025833 104734168034444 157101252051666 314202504103332