Search a number
-
+
242355551424 = 2637237840177
BaseRepresentation
bin1110000110110110000…
…1000011110011000000
3212011120011201122002020
43201231201003303000
512432321010121144
6303200412321440
723336540124450
oct3415541036300
9764504648066
10242355551424
1193867432958
123ab78473280
1319b143c6a3c
14ba3145bd60
156486b52419
hex386d843cc0

242355551424 has 112 divisors (see below), whose sum is σ = 764699601408. Its totient is φ = 66233806848.

The previous prime is 242355551381. The next prime is 242355551497. The reversal of 242355551424 is 424155553242.

242355551424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×2423555514242 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3889177 + ... + 3951000.

Almost surely, 2242355551424 is an apocalyptic number.

242355551424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

242355551424 is an abundant number, since it is smaller than the sum of its proper divisors (522344049984).

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

242355551424 is a wasteful number, since it uses less digits than its factorization.

242355551424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7840222 (or 7840212 counting only the distinct ones).

The product of its digits is 960000, while the sum is 42.

The spelling of 242355551424 in words is "two hundred forty-two billion, three hundred fifty-five million, five hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 3864 4416 5152 7728 10304 15456 30912 7840177 15680354 23520531 31360708 47041062 54881239 62721416 94082124 109762478 125442832 164643717 180324071 188164248 219524956 250885664 329287434 360648142 376328496 439049912 501771328 540972213 658574868 721296284 752656992 878099824 1081944426 1262268497 1317149736 1442592568 1505313984 1756199648 2163888852 2524536994 2634299472 2885185136 3512399296 3786805491 4327777704 5049073988 5268598944 5770370272 7573610982 8655555408 10098147976 10537197888 11540740544 15147221964 17311110816 20196295952 30294443928 34622221632 40392591904 60588887856 80785183808 121177775712 242355551424