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140776944 = 24371141929
BaseRepresentation
bin10000110010000…
…01010111110000
3100210220012122220
420121001113300
5242014330234
621545201040
73326404260
oct1031012760
9323805586
10140776944
1172512890
123b190180
132321cb89
14149a77a0
15c55ba49
hex86415f0

140776944 has 160 divisors (see below), whose sum is σ = 464970240. Its totient is φ = 35635200.

The previous prime is 140776943. The next prime is 140776967. The reversal of 140776944 is 449677041.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 140776896 and 140776905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140776943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151072 + ... + 152000.

It is an arithmetic number, because the mean of its divisors is an integer number (2906064).

Almost surely, 2140776944 is an apocalyptic number.

140776944 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 140776944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232485120).

140776944 is an abundant number, since it is smaller than the sum of its proper divisors (324193296).

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

140776944 is a wasteful number, since it uses less digits than its factorization.

140776944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 140776944 is about 11864.9460175763. The cubic root of 140776944 is about 520.2081809439.

The spelling of 140776944 in words is "one hundred forty million, seven hundred seventy-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 41 42 44 48 56 66 77 82 84 88 112 123 132 154 164 168 176 231 246 264 287 308 328 336 451 462 492 528 574 616 656 861 902 924 929 984 1148 1232 1353 1722 1804 1848 1858 1968 2296 2706 2787 3157 3444 3608 3696 3716 4592 5412 5574 6314 6503 6888 7216 7432 9471 10219 10824 11148 12628 13006 13776 14864 18942 19509 20438 21648 22296 25256 26012 30657 37884 38089 39018 40876 44592 50512 52024 61314 71533 75768 76178 78036 81752 104048 114267 122628 143066 151536 152356 156072 163504 214599 228534 245256 266623 286132 304712 312144 418979 429198 457068 490512 533246 572264 609424 799869 837958 858396 914136 1066492 1144528 1256937 1599738 1675916 1716792 1828272 2132984 2513874 2932853 3199476 3351832 3433584 4265968 5027748 5865706 6398952 6703664 8798559 10055496 11731412 12797904 17597118 20110992 23462824 35194236 46925648 70388472 140776944