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42416124742215 = 345716139275633
BaseRepresentation
bin10011010010011110001100…
…00011000100101001000111
312120011221102122220000020000
421221033012003010221013
521024421210413222330
6230113410530412343
711635315053355050
oct1151170603045107
9176157378800200
1042416124742215
11125736396a3794
1249106424310b3
131a88a9201a943
14a68d46891727
154d851a029560
hex2693c60c4a47

42416124742215 has 80 divisors (see below), whose sum is σ = 86950831987008. Its totient is φ = 19378205144064.

The previous prime is 42416124742213. The next prime is 42416124742231. The reversal of 42416124742215 is 51224742161424.

It is a happy number.

42416124742215 is a `hidden beast` number, since 4 + 2 + 4 + 1 + 612 + 4 + 7 + 4 + 2 + 21 + 5 = 666.

It is not a de Polignac number, because 42416124742215 - 21 = 42416124742213 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42416124742213) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 64962 + ... + 9210671.

Almost surely, 242416124742215 is an apocalyptic number.

42416124742215 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42416124742215 is an abundant number, since it is smaller than the sum of its proper divisors (44534707244793).

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

42416124742215 is a wasteful number, since it uses less digits than its factorization.

42416124742215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9277270 (or 9277261 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 42416124742215 in words is "forty-two trillion, four hundred sixteen billion, one hundred twenty-four million, seven hundred forty-two thousand, two hundred fifteen".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 105 135 189 315 405 567 945 1613 2835 4839 8065 11291 14517 24195 33873 43551 56455 72585 101619 130653 169365 217755 304857 508095 653265 914571 1524285 4572855 9275633 27826899 46378165 64929431 83480697 139134495 194788293 250442091 324647155 417403485 584364879 751326273 973941465 1252210455 1753094637 2921824395 3756631365 5259283911 8765473185 14961596029 26296419555 44884788087 74807980145 104731172203 134654364261 224423940435 314193516609 403963092783 523655861015 673271821305 942580549827 1211889278349 1570967583045 2019815463915 2827741649481 4712902749135 6059446391745 8483224948443 14138708247405 42416124742215