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242121442440 = 23353544756921
BaseRepresentation
bin1110000101111110010…
…0000000010010001000
3212010221212012122221010
43201133210000102020
512431331042124230
6303121250443520
723330665206123
oct3413744002210
9763855178833
10242121442440
1193757273359
123ab11b935a0
1319aa7a59407
14ba0c31b3ba
15647130b9b0
hex385f900488

242121442440 has 64 divisors (see below), whose sum is σ = 726397580160. Its totient is φ = 64562762240.

The previous prime is 242121442439. The next prime is 242121442457. The reversal of 242121442440 is 44244121242.

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

It is a junction number, because it is equal to n+sod(n) for n = 242121442398 and 242121442407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4225180 + ... + 4282100.

It is an arithmetic number, because the mean of its divisors is an integer number (11349962190).

Almost surely, 2242121442440 is an apocalyptic number.

242121442440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242121442440 is an abundant number, since it is smaller than the sum of its proper divisors (484276137720).

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

242121442440 is a wasteful number, since it uses less digits than its factorization.

242121442440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92382 (or 92378 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 242121442440 its reverse (44244121242), we get a palindrome (286365563682).

The spelling of 242121442440 in words is "two hundred forty-two billion, one hundred twenty-one million, four hundred forty-two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 35447 56921 70894 106341 113842 141788 170763 177235 212682 227684 283576 284605 341526 354470 425364 455368 531705 569210 683052 708940 850728 853815 1063410 1138420 1366104 1417880 1707630 2126820 2276840 3415260 4253640 6830520 2017678687 4035357374 6053036061 8070714748 10088393435 12106072122 16141429496 20176786870 24212144244 30265180305 40353573740 48424288488 60530360610 80707147480 121060721220 242121442440