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144172032 = 210371661
BaseRepresentation
bin10001001011111…
…10010000000000
3101001021200211220
420211332100000
5243402001112
622150035040
73400304424
oct1045762000
9331250756
10144172032
1174421644
1240348a80
1323b3b2c4
141520cb84
15c9cc98c
hex897e400

144172032 has 88 divisors (see below), whose sum is σ = 390272832. Its totient is φ = 47308800.

The previous prime is 144172009. The next prime is 144172081. The reversal of 144172032 is 230271441.

It is a happy number.

It is a super-2 number, since 2×1441720322 = 41571149622018048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 144171993 and 144172011.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217782 + ... + 218442.

Almost surely, 2144172032 is an apocalyptic number.

144172032 is a gapful number since it is divisible by the number (12) 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 144172032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195136416).

144172032 is an abundant number, since it is smaller than the sum of its proper divisors (246100800).

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

144172032 is an equidigital number, since it uses as much as digits as its factorization.

144172032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 737 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 144172032 is about 12007.1658604352. The cubic root of 144172032 is about 524.3569232694.

The spelling of 144172032 in words is "one hundred forty-four million, one hundred seventy-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 661 768 852 1024 1136 1322 1536 1704 1983 2272 2644 3072 3408 3966 4544 5288 6816 7932 9088 10576 13632 15864 18176 21152 27264 31728 36352 42304 46931 54528 63456 72704 84608 93862 109056 126912 140793 169216 187724 218112 253824 281586 338432 375448 507648 563172 676864 750896 1015296 1126344 1501792 2030592 2252688 3003584 4505376 6007168 9010752 12014336 18021504 24028672 36043008 48057344 72086016 144172032