Search a number
-
+
151226426140 = 2256122032067
BaseRepresentation
bin1000110011010111001…
…1000010001100011100
3112110100020012102020221
42030311303002030130
54434202431114030
6153250015051124
713632350261446
oct2146563021434
9473306172227
10151226426140
1159153414279
1225385510aa4
1311350696cba
1474685dd496
153e015d9e7a
hex2335cc231c

151226426140 has 36 divisors (see below), whose sum is σ = 322867156248. Its totient is φ = 59498892480.

The previous prime is 151226426083. The next prime is 151226426173. The reversal of 151226426140 is 41624622151.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 151226426096 and 151226426105.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 941614 + ... + 1090453.

It is an arithmetic number, because the mean of its divisors is an integer number (8968532118).

Almost surely, 2151226426140 is an apocalyptic number.

151226426140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151226426140 is an abundant number, since it is smaller than the sum of its proper divisors (171640730108).

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

151226426140 is a wasteful number, since it uses less digits than its factorization.

151226426140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032198 (or 2032135 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The spelling of 151226426140 in words is "one hundred fifty-one billion, two hundred twenty-six million, four hundred twenty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 61 122 244 305 610 1220 3721 7442 14884 18605 37210 74420 2032067 4064134 8128268 10160335 20320670 40641340 123956087 247912174 495824348 619780435 1239560870 2479121740 7561321307 15122642614 30245285228 37806606535 75613213070 151226426140