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331244051304240 = 243252811637228407
BaseRepresentation
bin100101101010000111100010…
…0000000110000111100110000
31121102211121210110122120110100
41023110033010000300330300
5321404100304113213430
63132255225540232400
7126525410245605624
oct11324170400607460
91542747713576410
10331244051304240
11965a98a44a0528
123119939669b700
13112aa245626959
145bb2424985184
152846640816960
hex12d43c4030f30

331244051304240 has 120 divisors (see below), whose sum is σ = 1116386757933408. Its totient is φ = 88017399106560.

The previous prime is 331244051304191. The next prime is 331244051304247. The reversal of 331244051304240 is 42403150442133.

331244051304240 is a `hidden beast` number, since 3 + 3 + 1 + 2 + 4 + 405 + 1 + 3 + 0 + 4 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a junction number, because it is equal to n+sod(n) for n = 331244051304195 and 331244051304204.

It is not an unprimeable number, because it can be changed into a prime (331244051304247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 818411884 + ... + 818816523.

Almost surely, 2331244051304240 is an apocalyptic number.

331244051304240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

331244051304240 is an abundant number, since it is smaller than the sum of its proper divisors (785142706629168).

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

331244051304240 is a wasteful number, since it uses less digits than its factorization.

331244051304240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637228707 (or 1637228698 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 331244051304240 in words is "three hundred thirty-one trillion, two hundred forty-four billion, fifty-one million, three hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 281 360 562 720 843 1124 1405 1686 2248 2529 2810 3372 4215 4496 5058 5620 6744 8430 10116 11240 12645 13488 16860 20232 22480 25290 33720 40464 50580 67440 101160 202320 1637228407 3274456814 4911685221 6548913628 8186142035 9823370442 13097827256 14735055663 16372284070 19646740884 24558426105 26195654512 29470111326 32744568140 39293481768 49116852210 58940222652 65489136280 73675278315 78586963536 98233704420 117880445304 130978272560 147350556630 196467408840 235760890608 294701113260 392934817680 460061182367 589402226520 920122364734 1178804453040 1380183547101 1840244729468 2300305911835 2760367094202 3680489458936 4140550641303 4600611823670 5520734188404 6900917735505 7360978917872 8281101282606 9201223647340 11041468376808 13801835471010 16562202565212 18402447294680 20702753206515 22082936753616 27603670942020 33124405130424 36804894589360 41405506413030 55207341884040 66248810260848 82811012826060 110414683768080 165622025652120 331244051304240