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149743944 = 23337971021
BaseRepresentation
bin10001110110011…
…10100101001000
3101102202210002000
420323032211020
5301313301234
622505311000
73465542160
oct1073164510
9342683060
10149743944
1177587929
1242195460
132503c4ac
1415c5d5a0
15d22d899
hex8ece948

149743944 has 128 divisors (see below), whose sum is σ = 480748800. Its totient is φ = 42301440.

The previous prime is 149743943. The next prime is 149743987. The reversal of 149743944 is 449347941.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 149743944.

It is not an unprimeable number, because it can be changed into a prime (149743943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146154 + ... + 147174.

It is an arithmetic number, because the mean of its divisors is an integer number (3755850).

Almost surely, 2149743944 is an apocalyptic number.

149743944 is a gapful number since it is divisible by the number (14) 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 149743944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240374400).

149743944 is an abundant number, since it is smaller than the sum of its proper divisors (331004856).

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

149743944 is a wasteful number, since it uses less digits than its factorization.

149743944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1130 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 149743944 is about 12236.9908065668. The cubic root of 149743944 is about 531.0267789489.

The spelling of 149743944 in words is "one hundred forty-nine million, seven hundred forty-three thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 97 108 126 168 189 194 216 252 291 378 388 504 582 679 756 776 873 1021 1164 1358 1512 1746 2037 2042 2328 2619 2716 3063 3492 4074 4084 5238 5432 6111 6126 6984 7147 8148 8168 9189 10476 12222 12252 14294 16296 18333 18378 20952 21441 24444 24504 27567 28588 36666 36756 42882 48888 55134 57176 64323 73332 73512 85764 99037 110268 128646 146664 171528 192969 198074 220536 257292 297111 385938 396148 514584 594222 693259 771876 792296 891333 1188444 1386518 1543752 1782666 2079777 2376888 2673999 2773036 3565332 4159554 5347998 5546072 6239331 7130664 8319108 10695996 12478662 16638216 18717993 21391992 24957324 37435986 49914648 74871972 149743944