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141880144 = 24719611093
BaseRepresentation
bin10000111010011…
…10101101010000
3100212222020222011
420131032231100
5242310131034
622024552304
73341650510
oct1035165520
9325866864
10141880144
11730a671a
123b622694
1323518063
1414bb3840
15c6c8864
hex874eb50

141880144 has 80 divisors (see below), whose sum is σ = 336426880. Its totient is φ = 56609280.

The previous prime is 141880133. The next prime is 141880217. The reversal of 141880144 is 441088141.

It is a super-2 number, since 2×1418801442 = 40259950522921472, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 129262 + ... + 130354.

It is an arithmetic number, because the mean of its divisors is an integer number (4205336).

Almost surely, 2141880144 is an apocalyptic number.

141880144 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 141880144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168213440).

141880144 is an abundant number, since it is smaller than the sum of its proper divisors (194546736).

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

141880144 is a wasteful number, since it uses less digits than its factorization.

141880144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1188 (or 1182 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 31.

The square root of 141880144 is about 11911.3451801213. The cubic root of 141880144 is about 521.5635190025.

The spelling of 141880144 in words is "one hundred forty-one million, eight hundred eighty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 61 76 112 122 133 152 244 266 304 427 488 532 854 976 1064 1093 1159 1708 2128 2186 2318 3416 4372 4636 6832 7651 8113 8744 9272 15302 16226 17488 18544 20767 30604 32452 41534 61208 64904 66673 83068 122416 129808 133346 145369 166136 266692 290738 332272 466711 533384 581476 933422 1066768 1162952 1266787 1866844 2325904 2533574 3733688 5067148 7467376 8867509 10134296 17735018 20268592 35470036 70940072 141880144