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42414022515024 = 24322812543412187
BaseRepresentation
bin10011010010011010010001…
…01111101101100101010000
312120011202000011011210122200
421221031020233231211100
521024402404230440044
6230112422152403200
711635212005623566
oct1151151057554520
9176152004153580
1042414022515024
111257275aa84346
1249101563a6500
131a88818630124
14a68bc75c5a36
154d84456c2369
hex269348bed950

42414022515024 has 120 divisors (see below), whose sum is σ = 119169908387712. Its totient is φ = 14082120353280.

The previous prime is 42414022514989. The next prime is 42414022515031. The reversal of 42414022515024 is 42051522041424.

42414022515024 is a `hidden beast` number, since 4 + 2 + 4 + 140 + 2 + 2 + 5 + 1 + 502 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42414022515024.

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, 102693859 + ... + 103106045.

Almost surely, 242414022515024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42414022515024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59584954193856).

42414022515024 is an abundant number, since it is smaller than the sum of its proper divisors (76755885872688).

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

42414022515024 is a wasteful number, since it uses less digits than its factorization.

42414022515024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415025 (or 415016 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 42414022515024 its reverse (42051522041424), we get a palindrome (84465544556448).

The spelling of 42414022515024 in words is "forty-two trillion, four hundred fourteen billion, twenty-two million, five hundred fifteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 281 562 843 1124 1686 2248 2529 2543 3372 4496 5058 5086 6744 7629 10116 10172 13488 15258 20232 20344 22887 30516 40464 40688 45774 61032 91548 122064 183096 366192 412187 714583 824374 1236561 1429166 1648748 2143749 2473122 2858332 3297496 3709683 4287498 4946244 5716664 6431247 6594992 7419366 8574996 9892488 11433328 12862494 14838732 17149992 19784976 25724988 29677464 34299984 51449976 59354928 102899952 115824547 231649094 347473641 463298188 694947282 926596376 1042420923 1048191541 1389894564 1853192752 2084841846 2096383082 2779789128 3144574623 4169683692 4192766164 5559578256 6289149246 8339367384 8385532328 9433723869 12578298492 16678734768 16771064656 18867447738 25156596984 37734895476 50313193968 75469790952 150939581904 294541823021 589083646042 883625469063 1178167292084 1767250938126 2356334584168 2650876407189 3534501876252 4712669168336 5301752814378 7069003752504 10603505628756 14138007505008 21207011257512 42414022515024