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242113246456444 = 2211194110316851249
BaseRepresentation
bin110111000011001101100010…
…000011001110101001111100
31011202020210121102120222020121
4313003031202003032221330
5223213240412043101234
62214533142343224324
7101666050644025426
oct6703154203165174
91152223542528217
10242113246456444
1170165718822070
12231a32044480a4
13a51324807093c
1443b04b4db1816
151cecdc3da94b4
hexdc33620cea7c

242113246456444 has 96 divisors (see below), whose sum is σ = 498893774400000. Its totient is φ = 101617710336000.

The previous prime is 242113246456429. The next prime is 242113246456447. The reversal of 242113246456444 is 444654642311242.

242113246456444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 242113246456391 and 242113246456400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242113246456447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31912932 + ... + 38764180.

It is an arithmetic number, because the mean of its divisors is an integer number (5196810150000).

Almost surely, 2242113246456444 is an apocalyptic number.

It is an amenable number.

242113246456444 is an abundant number, since it is smaller than the sum of its proper divisors (256780527943556).

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

242113246456444 is a wasteful number, since it uses less digits than its factorization.

242113246456444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6852355 (or 6852353 counting only the distinct ones).

The product of its digits is 17694720, while the sum is 52.

Adding to 242113246456444 its reverse (444654642311242), we get a palindrome (686767888767686).

The spelling of 242113246456444 in words is "two hundred forty-two trillion, one hundred thirteen billion, two hundred forty-six million, four hundred fifty-six thousand, four hundred forty-four".

Divisors: 1 2 4 11 19 22 38 41 44 76 82 164 209 418 451 779 836 902 1031 1558 1804 2062 3116 4124 8569 11341 17138 19589 22682 34276 39178 42271 45364 78356 84542 169084 215479 430958 464981 803149 861916 929962 1606298 1859924 3212596 6851249 8834639 13702498 17669278 27404996 35338556 75363739 130173731 150727478 260347462 280901209 301454956 520694924 561802418 1123604836 1431911041 2863822082 3089913299 5337122971 5727644164 6179826598 7063637719 10674245942 12359653196 14127275438 21348491884 28254550876 58708352681 77700014909 117416705362 134209116661 155400029818 234833410724 268418233322 289609146479 310800059636 536836466644 579218292958 1158436585916 1476300283271 2952600566542 3185700611269 5502573783101 5905201133084 6371401222538 11005147566202 12742802445076 22010295132404 60528311614111 121056623228222 242113246456444