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144153480 = 23353732467
BaseRepresentation
bin10001001011110…
…01101110001000
3101001020202101210
420211321232020
5243400402410
622145413120
73400166352
oct1045715610
9331222353
10144153480
1174409709
124033a1a0
1323b32a23
14152060d2
15c9c7220
hex8979b88

144153480 has 64 divisors (see below), whose sum is σ = 444162240. Its totient is φ = 37400832.

The previous prime is 144153469. The next prime is 144153491. The reversal of 144153480 is 84351441.

It is an interprime number because it is at equal distance from previous prime (144153469) and next prime (144153491).

It is a super-2 number, since 2×1441534802 = 41560451592220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 11794 + ... + 20673.

It is an arithmetic number, because the mean of its divisors is an integer number (6940035).

Almost surely, 2144153480 is an apocalyptic number.

144153480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144153480 is an abundant number, since it is smaller than the sum of its proper divisors (300008760).

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

144153480 is a wasteful number, since it uses less digits than its factorization.

144153480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32518 (or 32514 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 144153480 is about 12006.3932969064. The cubic root of 144153480 is about 524.3344309575.

The spelling of 144153480 in words is "one hundred forty-four million, one hundred fifty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 32467 64934 97401 129868 162335 194802 259736 324670 389604 487005 649340 779208 974010 1201279 1298680 1948020 2402558 3603837 3896040 4805116 6006395 7207674 9610232 12012790 14415348 18019185 24025580 28830696 36038370 48051160 72076740 144153480