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242435451321 = 32729613476269
BaseRepresentation
bin1110000111001001000…
…1110110100110111001
3212011202202001222010200
43201302101312212321
512433001433420241
6303212345032413
723341530222660
oct3416221664671
9764682058120
10242435451321
11938a8545928
123ab9b185709
1319b27b2069b
14ba3bcd9dd7
15648db864b6
hex38724769b9

242435451321 has 96 divisors (see below), whose sum is σ = 422078342400. Its totient is φ = 131164669440.

The previous prime is 242435451319. The next prime is 242435451367. The reversal of 242435451321 is 123154534242.

It is a happy number.

242435451321 is a `hidden beast` number, since 2 + 42 + 43 + 545 + 1 + 32 + 1 = 666.

It is not a de Polignac number, because 242435451321 - 21 = 242435451319 is a prime.

It is not an unprimeable number, because it can be changed into a prime (242435451311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38668975 + ... + 38675243.

It is an arithmetic number, because the mean of its divisors is an integer number (4396649400).

Almost surely, 2242435451321 is an apocalyptic number.

242435451321 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

242435451321 is a deficient number, since it is larger than the sum of its proper divisors (179642891079).

242435451321 is a wasteful number, since it uses less digits than its factorization.

242435451321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6719 (or 6716 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 242435451321 its reverse (123154534242), we get a palindrome (365589985563).

The spelling of 242435451321 in words is "two hundred forty-two billion, four hundred thirty-five million, four hundred fifty-one thousand, three hundred twenty-one".

Divisors: 1 3 7 9 21 29 61 63 87 183 203 261 347 427 549 609 1041 1281 1769 1827 2429 3123 3843 5307 6269 7287 10063 12383 15921 18807 21167 21861 30189 37149 43883 56421 63501 70441 90567 111447 131649 148169 181801 190503 211323 382409 394947 444507 545403 613843 633969 1147227 1272607 1333521 1636209 1841529 2175343 2676863 3441681 3817821 4296901 5524587 6526029 8030589 11089861 11453463 12890703 15227401 19578087 24091767 33269583 38672109 45682203 63084947 77629027 99808749 132695923 137046609 189254841 232887081 398087769 441594629 567764523 698661243 928871461 1194263307 1324783887 2786614383 3848181767 3974351661 8359843149 11544545301 26937272369 34633635903 80811817107 242435451321