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242435515202040 = 233510456119321697
BaseRepresentation
bin110111000111111001101010…
…110000111011100111111000
31011210101121102220002111010010
4313013321222300323213320
5223234030413342431130
62215341201013021520
7102031250033124456
oct6707715260734770
91153347386074103
10242435515202040
117027a363061546
12232357636248a0
13a5377565c8394
1443c1d2784d9d6
151d064865800b0
hexdc7e6ac3b9f8

242435515202040 has 64 divisors (see below), whose sum is σ = 727313539059360. Its totient is φ = 64648849080320.

The previous prime is 242435515202039. The next prime is 242435515202047. The reversal of 242435515202040 is 40202515534242.

It is a self number, because there is not a number n which added to its sum of digits gives 242435515202040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242435515202047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2886472 + ... + 22208168.

Almost surely, 2242435515202040 is an apocalyptic number.

242435515202040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242435515202040 is an abundant number, since it is smaller than the sum of its proper divisors (484878023857320).

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

242435515202040 is a wasteful number, since it uses less digits than its factorization.

242435515202040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19426272 (or 19426268 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 39.

The spelling of 242435515202040 in words is "two hundred forty-two trillion, four hundred thirty-five billion, five hundred fifteen million, two hundred two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 104561 209122 313683 418244 522805 627366 836488 1045610 1254732 1568415 2091220 2509464 3136830 4182440 6273660 12547320 19321697 38643394 57965091 77286788 96608485 115930182 154573576 193216970 231860364 289825455 386433940 463720728 579650910 772867880 1159301820 2318603640 2020295960017 4040591920034 6060887880051 8081183840068 10101479800085 12121775760102 16162367680136 20202959600170 24243551520204 30304439400255 40405919200340 48487103040408 60608878800510 80811838400680 121217757601020 242435515202040