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242214050460 = 223538047106103
BaseRepresentation
bin1110000110010100010…
…1010001101010011100
3212011012022110122020210
43201211011101222130
512432023244103320
6303134355412420
723333201313264
oct3414505215234
9764168418223
10242214050460
11937a4576108
123ab38bb4110
1319ac0cb2465
14ba1a7467a4
1564795010e0
hex3865151a9c

242214050460 has 48 divisors (see below), whose sum is σ = 678223558656. Its totient is φ = 64588107072.

The previous prime is 242214050453. The next prime is 242214050483. The reversal of 242214050460 is 64050412242.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2229769 + ... + 2335871.

It is an arithmetic number, because the mean of its divisors is an integer number (14129657472).

Almost surely, 2242214050460 is an apocalyptic number.

242214050460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242214050460 is an abundant number, since it is smaller than the sum of its proper divisors (436009508196).

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

242214050460 is a wasteful number, since it uses less digits than its factorization.

242214050460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144162 (or 144160 counting only the distinct ones).

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

The spelling of 242214050460 in words is "two hundred forty-two billion, two hundred fourteen million, fifty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 38047 76094 106103 114141 152188 190235 212206 228282 318309 380470 424412 456564 530515 570705 636618 760940 1061030 1141410 1273236 1591545 2122060 2282820 3183090 6366180 4036900841 8073801682 12110702523 16147603364 20184504205 24221405046 40369008410 48442810092 60553512615 80738016820 121107025230 242214050460