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144331890 = 23541271433
BaseRepresentation
bin10001001101001…
…01010001110010
3101001120211010120
420212211101302
5243422110030
622153311110
73401541453
oct1046452162
9331524116
10144331890
117452075a
1240405496
1323b95cb1
141525112a
15ca10010
hex89a5472

144331890 has 64 divisors (see below), whose sum is σ = 356977152. Its totient is φ = 37324800.

The previous prime is 144331871. The next prime is 144331897. The reversal of 144331890 is 98133441.

It is not an unprimeable number, because it can be changed into a prime (144331897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333114 + ... + 333546.

It is an arithmetic number, because the mean of its divisors is an integer number (5577768).

Almost surely, 2144331890 is an apocalyptic number.

144331890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144331890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178488576).

144331890 is an abundant number, since it is smaller than the sum of its proper divisors (212645262).

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

144331890 is a wasteful number, since it uses less digits than its factorization.

144331890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 144331890 is about 12013.8207910723. The cubic root of 144331890 is about 524.5506540646.

It can be divided in two parts, 1443 and 31890, that added together give a palindrome (33333).

The spelling of 144331890 in words is "one hundred forty-four million, three hundred thirty-one thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 271 410 433 542 615 813 866 1230 1299 1355 1626 2165 2598 2710 4065 4330 6495 8130 11111 12990 17753 22222 33333 35506 53259 55555 66666 88765 106518 111110 117343 166665 177530 234686 266295 333330 352029 532590 586715 704058 1173430 1760145 3520290 4811063 9622126 14433189 24055315 28866378 48110630 72165945 144331890