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140441312 = 25112192383
BaseRepresentation
bin10000101111011…
…11011011100000
3100210021011021002
420113233123200
5241423110222
621534051132
73323505614
oct1027573340
9323234232
10140441312
1172303700
123b049aa8
132313318b
141491b344
15c4e2392
hex85ef6e0

140441312 has 144 divisors (see below), whose sum is σ = 337841280. Its totient is φ = 57150720.

The previous prime is 140441309. The next prime is 140441317. The reversal of 140441312 is 213144041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140441317) 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, 1692023 + ... + 1692105.

It is an arithmetic number, because the mean of its divisors is an integer number (2346120).

Almost surely, 2140441312 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 140441312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).

140441312 is an abundant number, since it is smaller than the sum of its proper divisors (197399968).

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

140441312 is a wasteful number, since it uses less digits than its factorization.

140441312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 140441312 is about 11850.7937286918. The cubic root of 140441312 is about 519.7944355130.

Adding to 140441312 its reverse (213144041), we get a palindrome (353585353).

The spelling of 140441312 in words is "one hundred forty million, four hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 19 22 23 32 38 44 46 76 83 88 92 121 152 166 176 184 209 242 253 304 332 352 368 418 437 484 506 608 664 736 836 874 913 968 1012 1328 1577 1672 1748 1826 1909 1936 2024 2299 2656 2783 3154 3344 3496 3652 3818 3872 4048 4598 4807 5566 6308 6688 6992 7304 7636 8096 9196 9614 10043 11132 12616 13984 14608 15272 17347 18392 19228 20086 20999 22264 25232 29216 30544 34694 36271 36784 38456 40172 41998 44528 50464 52877 61088 69388 72542 73568 76912 80344 83996 89056 105754 138776 145084 153824 160688 167992 190817 211508 230989 277552 290168 321376 335984 381634 398981 423016 461978 555104 580336 671968 763268 797962 846032 923956 1160672 1526536 1595924 1692064 1847912 3053072 3191848 3695824 4388791 6106144 6383696 7391648 8777582 12767392 17555164 35110328 70220656 140441312