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149985589941 = 321137101405407
BaseRepresentation
bin1000101110101111010…
…1100111101010110101
3112100010202100101222200
42023223311213222311
54424132302334231
6152522531415113
713556532323265
oct2135365475265
9470122311880
10149985589941
1158676a56710
1225099a54499
13111b35a54b5
14738b8bd7a5
153d7c6d4be6
hex22ebd67ab5

149985589941 has 48 divisors (see below), whose sum is σ = 245132379648. Its totient is φ = 87567696000.

The previous prime is 149985589933. The next prime is 149985589967.

It is a happy number.

149985589941 is a `hidden beast` number, since 1 + 499 + 8 + 5 + 5 + 8 + 99 + 41 = 666.

149985589941 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 149985589941 - 23 = 149985589933 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 149985589941.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149985589921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167260 + ... + 572666.

It is an arithmetic number, because the mean of its divisors is an integer number (5106924576).

Almost surely, 2149985589941 is an apocalyptic number.

149985589941 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

149985589941 is a deficient number, since it is larger than the sum of its proper divisors (95146789707).

149985589941 is a wasteful number, since it uses less digits than its factorization.

149985589941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405562 (or 405559 counting only the distinct ones).

The product of its digits is 167961600, while the sum is 72.

The spelling of 149985589941 in words is "one hundred forty-nine billion, nine hundred eighty-five million, five hundred eighty-nine thousand, nine hundred forty-one".

Divisors: 1 3 9 11 33 37 99 101 111 303 333 407 909 1111 1221 3333 3663 3737 9999 11211 33633 41107 123321 369963 405407 1216221 3648663 4459477 13378431 15000059 40135293 40946107 45000177 122838321 135000531 165000649 368514963 450407177 495001947 1351221531 1485005841 1515005959 4053664593 4545017877 13635053631 16665065549 49995196647 149985589941