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242265546640 = 24513435417387
BaseRepresentation
bin1110000110100000100…
…1101101111110010000
3212011022220100220201201
43201220021231332100
512432124434443030
6303143435240544
723334365112025
oct3415011557620
9764286326651
10242265546640
1193820648a37
123ab522a9154
1319acb872880
14ba2350d54c
15647dcc42ca
hex386826df90

242265546640 has 80 divisors (see below), whose sum is σ = 620702647488. Its totient is φ = 87371601408.

The previous prime is 242265546637. The next prime is 242265546647. The reversal of 242265546640 is 46645562242.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (242265546647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2663974 + ... + 2753413.

Almost surely, 2242265546640 is an apocalyptic number.

242265546640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242265546640 is an abundant number, since it is smaller than the sum of its proper divisors (378437100848).

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

242265546640 is a wasteful number, since it uses less digits than its factorization.

242265546640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5417456 (or 5417450 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 46.

The spelling of 242265546640 in words is "two hundred forty-two billion, two hundred sixty-five million, five hundred forty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 86 104 130 172 208 215 260 344 430 520 559 688 860 1040 1118 1720 2236 2795 3440 4472 5590 8944 11180 22360 44720 5417387 10834774 21669548 27086935 43339096 54173870 70426031 86678192 108347740 140852062 216695480 232947641 281704124 352130155 433390960 465895282 563408248 704260310 931790564 1126816496 1164738205 1408520620 1863581128 2329476410 2817041240 3028319333 3727162256 4658952820 5634082480 6056638666 9317905640 12113277332 15141596665 18635811280 24226554664 30283193330 48453109328 60566386660 121132773320 242265546640