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151409049001 = 7312103218521
BaseRepresentation
bin1000110100000010101…
…1101011110110101001
3112110210221211121201121
42031000223223312221
54440041204032001
6153320101215241
713640025452560
oct2150053536651
9473727747647
10151409049001
1159237508561
1225416701521
131137c478972
14748497abd7
153e126606a1
hex2340aebda9

151409049001 has 24 divisors (see below), whose sum is σ = 180537631872. Its totient is φ = 124372843200.

The previous prime is 151409048957. The next prime is 151409049037. The reversal of 151409049001 is 100940904151.

151409049001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 151409049001 - 215 = 151409016233 is a prime.

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 Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151409049091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 583621 + ... + 802141.

It is an arithmetic number, because the mean of its divisors is an integer number (7522401328).

Almost surely, 2151409049001 is an apocalyptic number.

It is an amenable number.

151409049001 is a deficient number, since it is larger than the sum of its proper divisors (29128582871).

151409049001 is a wasteful number, since it uses less digits than its factorization.

151409049001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218693 (or 218662 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 151409049001 in words is "one hundred fifty-one billion, four hundred nine million, forty-nine thousand, one".

Divisors: 1 7 31 103 217 721 961 3193 6727 22351 98983 218521 692881 1529647 6774151 22507663 47419057 157553641 209998681 697737553 1469990767 4884162871 21629864143 151409049001