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242937925440 = 2635736151477
BaseRepresentation
bin1110001001000000111…
…0101000111101000000
3212020001202120022001020
43202100032220331000
512440014102103230
6303334254505440
723360141203050
oct3422016507500
9766052508036
10242937925440
11940361420a1
123b0bb505280
1319ba7c60952
14ba88937560
1564bcd3c810
hex38903a8f40

242937925440 has 112 divisors (see below), whose sum is σ = 881517639552. Its totient is φ = 55528667136.

The previous prime is 242937925429. The next prime is 242937925459. The reversal of 242937925440 is 44529739242.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 18069019 + ... + 18082458.

Almost surely, 2242937925440 is an apocalyptic number.

242937925440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242937925440 is an abundant number, since it is smaller than the sum of its proper divisors (638579714112).

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

242937925440 is a wasteful number, since it uses less digits than its factorization.

242937925440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36151504 (or 36151494 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 242937925440 in words is "two hundred forty-two billion, nine hundred thirty-seven million, nine hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 36151477 72302954 108454431 144605908 180757385 216908862 253060339 289211816 361514770 433817724 506120678 542272155 578423632 723029540 759181017 867635448 1012241356 1084544310 1156847264 1265301695 1446059080 1518362034 1735270896 2024482712 2169088620 2313694528 2530603390 2892118160 3036724068 3470541792 3795905085 4048965424 4338177240 5061206780 5784236320 6073448136 6941083584 7591810170 8097930848 8676354480 10122413560 11568472640 12146896272 15183620340 16195861696 17352708960 20244827120 24293792544 30367240680 34705417920 40489654240 48587585088 60734481360 80979308480 121468962720 242937925440