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144221680 = 2453535107
BaseRepresentation
bin10001001100010…
…10010111110000
3101001101012221201
420212022113300
5243410043210
622151100544
73400602241
oct1046122760
9331335851
10144221680
1174455979
1240371754
1323b57a95
1415222cc8
15c9dc53a
hex898a5f0

144221680 has 40 divisors (see below), whose sum is σ = 336331152. Its totient is φ = 57513984.

The previous prime is 144221677. The next prime is 144221683. The reversal of 144221680 is 86122441.

It is an interprime number because it is at equal distance from previous prime (144221677) and next prime (144221683).

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144221683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25687 + ... + 30793.

Almost surely, 2144221680 is an apocalyptic number.

144221680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144221680 is an abundant number, since it is smaller than the sum of its proper divisors (192109472).

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

144221680 is a wasteful number, since it uses less digits than its factorization.

144221680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5473 (or 5467 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 144221680 is about 12009.2331145665. The cubic root of 144221680 is about 524.4171066591.

The spelling of 144221680 in words is "one hundred forty-four million, two hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 353 706 1412 1765 2824 3530 5107 5648 7060 10214 14120 20428 25535 28240 40856 51070 81712 102140 204280 408560 1802771 3605542 7211084 9013855 14422168 18027710 28844336 36055420 72110840 144221680