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242415441300 = 223521367591113
BaseRepresentation
bin1110000111000100010…
…1100001010110010100
3212011201100102100112210
43201301011201112110
512432431323110200
6303210352113420
723341165152504
oct3416105412624
9764640370483
10242415441300
119389821901a
123ab94535870
1319b23935836
14ba393aba04
15648c032650
hex3871161594

242415441300 has 72 divisors (see below), whose sum is σ = 701902950336. Its totient is φ = 64596719360.

The previous prime is 242415441283. The next prime is 242415441313. The reversal of 242415441300 is 3144514242.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 114544 + ... + 705656.

It is an arithmetic number, because the mean of its divisors is an integer number (9748652088).

Almost surely, 2242415441300 is an apocalyptic number.

242415441300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242415441300 is an abundant number, since it is smaller than the sum of its proper divisors (459487509036).

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

242415441300 is a wasteful number, since it uses less digits than its factorization.

242415441300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592497 (or 592490 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 242415441300 its reverse (3144514242), we get a palindrome (245559955542).

The spelling of 242415441300 in words is "two hundred forty-two billion, four hundred fifteen million, four hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 1367 2734 4101 5468 6835 8202 13670 16404 20505 27340 34175 41010 68350 82020 102525 136700 205050 410100 591113 1182226 1773339 2364452 2955565 3546678 5911130 7093356 8866695 11822260 14777825 17733390 29555650 35466780 44333475 59111300 88666950 177333900 808051471 1616102942 2424154413 3232205884 4040257355 4848308826 8080514710 9696617652 12120772065 16161029420 20201286775 24241544130 40402573550 48483088260 60603860325 80805147100 121207720650 242415441300