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144556968 = 23331331587
BaseRepresentation
bin10001001110111…
…00001110101000
3101002000020212210
420213130032220
5244001310333
622202205120
73403466613
oct1047341650
9332006783
10144556968
1174664876
12404b37a0
1323c4458a
14152ad17a
15ca56a63
hex89dc3a8

144556968 has 64 divisors (see below), whose sum is σ = 374814720. Its totient is φ = 46411200.

The previous prime is 144556961. The next prime is 144557011. The reversal of 144556968 is 869655441.

It is not an unprimeable number, because it can be changed into a prime (144556961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245971 + ... + 246557.

It is an arithmetic number, because the mean of its divisors is an integer number (5856480).

Almost surely, 2144556968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144556968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187407360).

144556968 is an abundant number, since it is smaller than the sum of its proper divisors (230257752).

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

144556968 is a wasteful number, since it uses less digits than its factorization.

144556968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 954 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 144556968 is about 12023.1846030908. The cubic root of 144556968 is about 524.8231821785.

The spelling of 144556968 in words is "one hundred forty-four million, five hundred fifty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 331 372 587 662 744 993 1174 1324 1761 1986 2348 2648 3522 3972 4696 7044 7944 10261 14088 18197 20522 30783 36394 41044 54591 61566 72788 82088 109182 123132 145576 194297 218364 246264 388594 436728 582891 777188 1165782 1554376 2331564 4663128 6023207 12046414 18069621 24092828 36139242 48185656 72278484 144556968