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144069940 = 22571795749
BaseRepresentation
bin10001001011001…
…01010100110100
3101001002111210201
420211211110310
5243340214230
622143530244
73366400660
oct1045452464
9331074721
10144069940
1174361973
12402b9984
1323b039b1
14151c38a0
15c9ac5ca
hex8965534

144069940 has 48 divisors (see below), whose sum is σ = 347760000. Its totient is φ = 49110912.

The previous prime is 144069869. The next prime is 144069973. The reversal of 144069940 is 49960441.

It is a super-2 number, since 2×1440699402 = 41512295223207200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144069940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22186 + ... + 27934.

It is an arithmetic number, because the mean of its divisors is an integer number (7245000).

Almost surely, 2144069940 is an apocalyptic number.

144069940 is a gapful number since it is divisible by the number (10) 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 144069940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173880000).

144069940 is an abundant number, since it is smaller than the sum of its proper divisors (203690060).

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

144069940 is a wasteful number, since it uses less digits than its factorization.

144069940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5944 (or 5942 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 144069940 is about 12002.9138129039. The cubic root of 144069940 is about 524.2331237427.

The spelling of 144069940 in words is "one hundred forty-four million, sixty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 179 358 716 895 1253 1790 2506 3580 5012 5749 6265 11498 12530 22996 25060 28745 40243 57490 80486 114980 160972 201215 402430 804860 1029071 2058142 4116284 5145355 7203497 10290710 14406994 20581420 28813988 36017485 72034970 144069940