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331141440430240 = 25511259172616189
BaseRepresentation
bin100101101001010111101111…
…1111011010110000010100000
31121102110210221100012002101121
41023102233133323112002200
5321400410132222231430
63132140135545142024
7126515115406556566
oct11322573773260240
91542423840162347
10331141440430240
119656a329313120
123118151a48a914
13112a0671c3796b
145bab48cc91a36
152843b3729ea7a
hex12d2bdfed60a0

331141440430240 has 96 divisors (see below), whose sum is σ = 853771202081280. Its totient is φ = 120368593228800.

The previous prime is 331141440430237. The next prime is 331141440430277. The reversal of 331141440430240 is 42034044141133.

It is a junction number, because it is equal to n+sod(n) for n = 331141440430196 and 331141440430205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31747935 + ... + 40868254.

It is an arithmetic number, because the mean of its divisors is an integer number (8893450021680).

Almost surely, 2331141440430240 is an apocalyptic number.

It is an amenable number.

331141440430240 is an abundant number, since it is smaller than the sum of its proper divisors (522629761651040).

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

331141440430240 is a wasteful number, since it uses less digits than its factorization.

331141440430240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72618806 (or 72618798 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 34.

Adding to 331141440430240 its reverse (42034044141133), we get a palindrome (373175484571373).

The spelling of 331141440430240 in words is "three hundred thirty-one trillion, one hundred forty-one billion, four hundred forty million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 2591 5182 10364 12955 20728 25910 28501 41456 51820 57002 82912 103640 114004 142505 207280 228008 285010 414560 456016 570020 912032 1140040 2280080 4560160 72616189 145232378 290464756 363080945 580929512 726161890 798778079 1161859024 1452323780 1597556158 2323718048 2904647560 3195112316 3993890395 5809295120 6390224632 7987780790 11618590240 12780449264 15975561580 25560898528 31951123160 63902246320 127804492640 188148545699 376297091398 752594182796 940742728495 1505188365592 1881485456990 2069634002689 3010376731184 3762970913980 4139268005378 6020753462368 7525941827960 8278536010756 10348170013445 15051883655920 16557072021512 20696340026890 30103767311840 33114144043024 41392680053780 66228288086048 82785360107560 165570720215120 331141440430240