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144122904 = 233219137769
BaseRepresentation
bin10001001011100…
…10010000011000
3101001012012110100
420211302100120
5243343413104
622145015400
73400011252
oct1045622030
9331165410
10144122904
1174398742
1240324560
1323b21b33
14151d8cd2
15c9bd139
hex8972418

144122904 has 96 divisors (see below), whose sum is σ = 414414000. Its totient is φ = 45121536.

The previous prime is 144122903. The next prime is 144122921. The reversal of 144122904 is 409221441.

It is a happy number.

It is a super-2 number, since 2×1441229042 = 41542822914786432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144122903) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 187032 + ... + 187800.

Almost surely, 2144122904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144122904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207207000).

144122904 is an abundant number, since it is smaller than the sum of its proper divisors (270291096).

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

144122904 is a wasteful number, since it uses less digits than its factorization.

144122904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 144122904 is about 12005.1199077727. The cubic root of 144122904 is about 524.2973566225.

The spelling of 144122904 in words is "one hundred forty-four million, one hundred twenty-two thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 137 152 171 228 274 342 411 456 548 684 769 822 1096 1233 1368 1538 1644 2307 2466 2603 3076 3288 4614 4932 5206 6152 6921 7809 9228 9864 10412 13842 14611 15618 18456 20824 23427 27684 29222 31236 43833 46854 55368 58444 62472 87666 93708 105353 116888 131499 175332 187416 210706 262998 316059 350664 421412 525996 632118 842824 948177 1051992 1264236 1896354 2001707 2528472 3792708 4003414 6005121 7585416 8006828 12010242 16013656 18015363 24020484 36030726 48040968 72061452 144122904