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151121744144 = 24712171108711
BaseRepresentation
bin1000110010111110001…
…1101101000100010000
3112110001221020000112222
42030233203231010100
54433444131303034
6153231355240212
713626636426230
oct2145743550420
9473057200488
10151121744144
11590aa315128
1225356449068
1311334aa43a7
14745874dcc0
153de730d12e
hex232f8ed110

151121744144 has 40 divisors (see below), whose sum is σ = 334901981568. Its totient is φ = 64713185280.

The previous prime is 151121744119. The next prime is 151121744149. The reversal of 151121744144 is 441447121151.

151121744144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (151121744149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418052 + ... + 690659.

Almost surely, 2151121744144 is an apocalyptic number.

151121744144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

151121744144 is an abundant number, since it is smaller than the sum of its proper divisors (183780237424).

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

151121744144 is a wasteful number, since it uses less digits than its factorization.

151121744144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109943 (or 1109937 counting only the distinct ones).

The product of its digits is 17920, while the sum is 35.

Adding to 151121744144 its reverse (441447121151), we get a palindrome (592568865295).

The spelling of 151121744144 in words is "one hundred fifty-one billion, one hundred twenty-one million, seven hundred forty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 1217 2434 4868 8519 9736 17038 19472 34076 68152 136304 1108711 2217422 4434844 7760977 8869688 15521954 17739376 31043908 62087816 124175632 1349301287 2698602574 5397205148 9445109009 10794410296 18890218018 21588820592 37780436036 75560872072 151121744144