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144715872 = 2537215351
BaseRepresentation
bin10001010000000…
…11000001100000
3101002022022212010
420220003001200
5244021401442
622205432520
73405031110
oct1050030140
9332268763
10144715872
11747631a4
124056b740
1323c9b9c2
1415311040
15ca88b9c
hex8a03060

144715872 has 48 divisors (see below), whose sum is σ = 434149632. Its totient is φ = 41347200.

The previous prime is 144715871. The next prime is 144715933. The reversal of 144715872 is 278517441.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 144715872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144715871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107004 + ... + 108347.

It is an arithmetic number, because the mean of its divisors is an integer number (9044784).

Almost surely, 2144715872 is an apocalyptic number.

144715872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144715872 is an abundant number, since it is smaller than the sum of its proper divisors (289433760).

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

144715872 is a wasteful number, since it uses less digits than its factorization.

144715872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215371 (or 215363 counting only the distinct ones).

The product of its digits is 62720, while the sum is 39.

The square root of 144715872 is about 12029.7910206287. The cubic root of 144715872 is about 525.0154154204.

The spelling of 144715872 in words is "one hundred forty-four million, seven hundred fifteen thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 215351 430702 646053 861404 1292106 1507457 1722808 2584212 3014914 3445616 4522371 5168424 6029828 6891232 9044742 10336848 12059656 18089484 20673696 24119312 36178968 48238624 72357936 144715872