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242440214053464 = 233274525331062977
BaseRepresentation
bin110111000111111110000010…
…110101101000001001011000
31011210102001120100210212111100
4313013332002311220021120
5223234120024244202324
62215343255145431400
7102031504340526660
oct6707760265501130
91153361510725440
10242440214053464
1170281354480129
122323665519b560
13a538024c4643b
1443c225191d1a0
151d0665dd4c4c9
hexdc7f82d68258

242440214053464 has 96 divisors (see below), whose sum is σ = 750412550553120. Its totient is φ = 69268414353408.

The previous prime is 242440214053459. The next prime is 242440214053481. The reversal of 242440214053464 is 464350412044242.

242440214053464 is a `hidden beast` number, since 2 + 4 + 2 + 4 + 40 + 2 + 14 + 0 + 534 + 64 = 666.

242440214053464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 227545144 + ... + 228608120.

It is an arithmetic number, because the mean of its divisors is an integer number (7816797401595).

Almost surely, 2242440214053464 is an apocalyptic number.

242440214053464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242440214053464 is an abundant number, since it is smaller than the sum of its proper divisors (507972336499656).

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

242440214053464 is a wasteful number, since it uses less digits than its factorization.

242440214053464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515529 (or 1515522 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 45.

The spelling of 242440214053464 in words is "two hundred forty-two trillion, four hundred forty billion, two hundred fourteen million, fifty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 452533 905066 1062977 1357599 1810132 2125954 2715198 3167731 3188931 3620264 4072797 4251908 5430396 6335462 6377862 7440839 8145594 8503816 9503193 9566793 10860792 12670924 12755724 14881678 16291188 19006386 19133586 22322517 25341848 25511448 28509579 29763356 32582376 38012772 38267172 44645034 57019158 59526712 66967551 76025544 76534344 89290068 114038316 133935102 178580136 228076632 267870204 535740408 481032170741 962064341482 1443096512223 1924128682964 2886193024446 3367225195187 3848257365928 4329289536669 5772386048892 6734450390374 8658579073338 10101675585561 11544772097784 13468900780748 17317158146676 20203351171122 26937801561496 30305026756683 34634316293352 40406702342244 60610053513366 80813404684488 121220107026732 242440214053464