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151004241045 = 3257268482649
BaseRepresentation
bin1000110010100010001…
…1011101110010010101
3112102202202010020121100
42030220203131302111
54433224041203140
6153212000540313
713624011604500
oct2145043356225
9472682106540
10151004241045
1159049a59329
1225323021699
1311316642b28
147446cc4137
153ddbd4c530
hex23288ddc95

151004241045 has 36 divisors (see below), whose sum is σ = 304473861900. Its totient is φ = 69030509184.

The previous prime is 151004241001. The next prime is 151004241053. The reversal of 151004241045 is 540142400151.

151004241045 is a `hidden beast` number, since 1 + 510 + 0 + 42 + 4 + 104 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24483173841 + 126521067204 = 156471^2 + 355698^2 .

It is not a de Polignac number, because 151004241045 - 222 = 151000046741 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34239120 + ... + 34243529.

It is an arithmetic number, because the mean of its divisors is an integer number (8457607275).

Almost surely, 2151004241045 is an apocalyptic number.

151004241045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

151004241045 is an abundant number, since it is smaller than the sum of its proper divisors (153469620855).

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

151004241045 is a wasteful number, since it uses less digits than its factorization.

151004241045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68482674 (or 68482664 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

Adding to 151004241045 its reverse (540142400151), we get a palindrome (691146641196).

The spelling of 151004241045 in words is "one hundred fifty-one billion, four million, two hundred forty-one thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 68482649 205447947 342413245 479378543 616343841 1027239735 1438135629 2396892715 3081719205 3355649801 4314406887 7190678145 10066949403 16778249005 21572034435 30200848209 50334747015 151004241045