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151005430240 = 2557134826277
BaseRepresentation
bin1000110010100010100…
…0000000000111100000
3112102202211100122212121
42030220220000013200
54433224342231430
6153212042234024
713624024656520
oct2145050000740
9472684318777
10151005430240
115904a6a0835
12253234b5914
131131696b1b2
147447113680
153ddbed4a7a
hex2328a001e0

151005430240 has 48 divisors (see below), whose sum is σ = 407714664672. Its totient is φ = 51773289984.

The previous prime is 151005430217. The next prime is 151005430249. The reversal of 151005430240 is 42034500151.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151005430249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67412019 + ... + 67414258.

It is an arithmetic number, because the mean of its divisors is an integer number (8494055514).

Almost surely, 2151005430240 is an apocalyptic number.

151005430240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151005430240 is an abundant number, since it is smaller than the sum of its proper divisors (256709234432).

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

151005430240 is a wasteful number, since it uses less digits than its factorization.

151005430240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134826299 (or 134826291 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 151005430240 its reverse (42034500151), we get a palindrome (193039930391).

The spelling of 151005430240 in words is "one hundred fifty-one billion, five million, four hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 134826277 269652554 539305108 674131385 943783939 1078610216 1348262770 1887567878 2157220432 2696525540 3775135756 4314440864 4718919695 5393051080 7550271512 9437839390 10786102160 15100543024 18875678780 21572204320 30201086048 37751357560 75502715120 151005430240