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242212153102032 = 24316146493125191
BaseRepresentation
bin110111000100101001101001…
…010110001000111011010000
31011202121020220101220011012110
4313010221221112020323100
5223221400442143231112
62215050421012025320
7102006151643446641
oct6704515126107320
91152536811804173
10242212153102032
11701a3662a71883
12231ba408002240
13a51c67b1b84b9
1443b51b8b436c8
151d0076212213c
hexdc4a69588ed0

242212153102032 has 40 divisors (see below), whose sum is σ = 625715316587200. Its totient is φ = 80737308529920.

The previous prime is 242212153102009. The next prime is 242212153102091. The reversal of 242212153102032 is 230201351212242.

It is a happy number.

It is a super-2 number, since 2×2422121531020322 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75940557 + ... + 79065747.

It is an arithmetic number, because the mean of its divisors is an integer number (15642882914680).

Almost surely, 2242212153102032 is an apocalyptic number.

It is an amenable number.

242212153102032 is an abundant number, since it is smaller than the sum of its proper divisors (383503163485168).

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

242212153102032 is a wasteful number, since it uses less digits than its factorization.

242212153102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4739851 (or 4739845 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 242212153102032 in words is "two hundred forty-two trillion, two hundred twelve billion, one hundred fifty-three million, one hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 1614649 3125191 3229298 4843947 6250382 6458596 9375573 9687894 12500764 12917192 18751146 19375788 25001528 25834384 37502292 38751576 50003056 75004584 77503152 150009168 5046086522959 10092173045918 15138259568877 20184346091836 30276519137754 40368692183672 60553038275508 80737384367344 121106076551016 242212153102032