Search a number
-
+
149134603464 = 23367211219227
BaseRepresentation
bin1000101011100100011…
…1010111010011001000
3112020221110001211000000
42022321013113103020
54420411424302324
6152302252043000
713526460133200
oct2127107272310
9466843054000
10149134603464
115827a660a00
1224aa0a63460
13110a91b01c2
14730a881400
153d2cb3a9c9
hex22b91d74c8

149134603464 has 1008 divisors, whose sum is σ = 566764657200. Its totient is φ = 36535847040.

The previous prime is 149134603459. The next prime is 149134603469. The reversal of 149134603464 is 464306431941.

149134603464 is a `hidden beast` number, since 1 + 4 + 9 + 1 + 34 + 603 + 4 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (149134603459) and next prime (149134603469).

It is a super-2 number, since 2×1491346034642 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (149134603469) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 656980519 + ... + 656980745.

It is an arithmetic number, because the mean of its divisors is an integer number (562266525).

Almost surely, 2149134603464 is an apocalyptic number.

149134603464 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149134603464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283382328600).

149134603464 is an abundant number, since it is smaller than the sum of its proper divisors (417630053736).

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

149134603464 is a wasteful number, since it uses less digits than its factorization.

149134603464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 149134603464 in words is "one hundred forty-nine billion, one hundred thirty-four million, six hundred three thousand, four hundred sixty-four".