Search a number
-
+
354100351025232 = 243271105931765081
BaseRepresentation
bin101000010000011010110100…
…1101000110100000001010000
31201102202122220021221211021100
41100200311221220310001100
5332403040004330301412
63253035242222224400
7134404622540650110
oct12040655150640120
91642678807854240
10354100351025232
11a291112a85a779
123386b02b125100
131227769b087996
146362796c97040
152ae0e69400edc
hex1420d69a34050

354100351025232 has 120 divisors (see below), whose sum is σ = 1132661505510080. Its totient is φ = 101162377336320.

The previous prime is 354100351025227. The next prime is 354100351025261. The reversal of 354100351025232 is 232520153001453.

354100351025232 is a `hidden beast` number, since 3 + 5 + 4 + 100 + 3 + 510 + 2 + 5 + 2 + 32 = 666.

It is a super-2 number, since 2×3541003510252322 (a number of 30 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4735069 + ... + 27030012.

Almost surely, 2354100351025232 is an apocalyptic number.

It is an amenable number.

354100351025232 is an abundant number, since it is smaller than the sum of its proper divisors (778561154484848).

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

354100351025232 is a wasteful number, since it uses less digits than its factorization.

354100351025232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31776161 (or 31776152 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 354100351025232 in words is "three hundred fifty-four trillion, one hundred billion, three hundred fifty-one million, twenty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 11059 22118 33177 44236 66354 77413 88472 99531 132708 154826 176944 199062 232239 265416 309652 398124 464478 530832 619304 696717 796248 928956 1238608 1393434 1592496 1857912 2786868 3715824 5573736 11147472 31765081 63530162 95295243 127060324 190590486 222355567 254120648 285885729 381180972 444711134 508241296 571771458 667066701 762361944 889422268 1143542916 1334133402 1524723888 1778844536 2001200103 2287085832 2668266804 3557689072 4002400206 4574171664 5336533608 8004800412 10673067216 16009600824 32019201648 351290030779 702580061558 1053870092337 1405160123116 2107740184674 2459030215453 2810320246232 3161610277011 4215480369348 4918060430906 5620640492464 6323220554022 7377090646359 8430960738696 9836120861812 12646441108044 14754181292718 16861921477392 19672241723624 22131271939077 25292882216088 29508362585436 39344483447248 44262543878154 50585764432176 59016725170872 88525087756308 118033450341744 177050175512616 354100351025232