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242551344504 = 23372657543379
BaseRepresentation
bin1110000111100100101…
…1111100110101111000
3212012001211010221200210
43201321023330311320
512433221121011004
6303232045031120
723344435260660
oct3417113746570
9765054127623
10242551344504
1193957a02117
123b011b554a0
1319b45b3a231
14ba4d4671a0
156498e2a089
hex38792fcd78

242551344504 has 64 divisors (see below), whose sum is σ = 693265939200. Its totient is φ = 69274174464.

The previous prime is 242551344487. The next prime is 242551344509. The reversal of 242551344504 is 405443155242.

242551344504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242551344509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174687 + ... + 718065.

It is an arithmetic number, because the mean of its divisors is an integer number (10832280300).

Almost surely, 2242551344504 is an apocalyptic number.

242551344504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242551344504 is an abundant number, since it is smaller than the sum of its proper divisors (450714594696).

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

242551344504 is a wasteful number, since it uses less digits than its factorization.

242551344504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546052 (or 546048 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

Adding to 242551344504 its reverse (405443155242), we get a palindrome (647994499746).

The spelling of 242551344504 in words is "two hundred forty-two billion, five hundred fifty-one million, three hundred forty-four thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 2657 5314 7971 10628 15942 18599 21256 31884 37198 55797 63768 74396 111594 148792 223188 446376 543379 1086758 1630137 2173516 3260274 3803653 4347032 6520548 7607306 11410959 13041096 15214612 22821918 30429224 45643836 91287672 1443758003 2887516006 4331274009 5775032012 8662548018 10106306021 11550064024 17325096036 20212612042 30318918063 34650192072 40425224084 60637836126 80850448168 121275672252 242551344504