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332045032660040 = 23572327629517081
BaseRepresentation
bin100101101111111100100001…
…0001110001001110001001000
31121112200012021020101100112002
41023133321002032021301020
5322010211211330110130
63134111214314410132
7126640314310030400
oct11337710216116110
91545605236340462
10332045032660040
11968885645a4377
12312a8675730948
13113379349b321b
145bdd0cb3a3800
15285c3bed55b45
hex12dfe42389c48

332045032660040 has 96 divisors (see below), whose sum is σ = 869081383135800. Its totient is φ = 113843443553280.

The previous prime is 332045032660037. The next prime is 332045032660049. The reversal of 332045032660040 is 40066230540233.

It can be written as a sum of positive squares in 4 ways, for example, as 293627622140356 + 38417410519684 = 17135566^2 + 6198178^2 .

It is a super-2 number, since 2×3320450326600402 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 332045032659976 and 332045032660003.

It is not an unprimeable number, because it can be changed into a prime (332045032660049) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 641894300 + ... + 642411380.

Almost surely, 2332045032660040 is an apocalyptic number.

It is an amenable number.

332045032660040 is an abundant number, since it is smaller than the sum of its proper divisors (537036350475760).

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

332045032660040 is a wasteful number, since it uses less digits than its factorization.

332045032660040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844735 (or 844724 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 38.

The spelling of 332045032660040 in words is "three hundred thirty-two trillion, forty-five billion, thirty-two million, six hundred sixty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 327629 517081 655258 1034162 1310516 1638145 2068324 2293403 2585405 2621032 3276290 3619567 4136648 4586806 5170810 6552580 7239134 9173612 10341620 11467015 13105160 14478268 16053821 18097835 18347224 20683240 22934030 25336969 28956536 32107642 36195670 45868060 50673938 64215284 72391340 80269105 91736120 101347876 126684845 128430568 144782680 160538210 202695752 253369690 321076420 506739380 642152840 1013478760 169410730949 338821461898 677642923796 847053654745 1185875116643 1355285847592 1694107309490 2371750233286 3388214618980 4743500466572 5929375583215 6776429237960 8301125816501 9487000933144 11858751166430 16602251633002 23717502332860 33204503266004 41505629082505 47435004665720 66409006532008 83011258165010 166022516330020 332045032660040