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140683511976 = 23378348720717
BaseRepresentation
bin1000001100000101100…
…1000000100010101000
3111110010110211212220120
42003001121000202220
54301104434340401
6144343515523240
713110161056410
oct2030131004250
9443113755816
10140683511976
11547331a1877
1223322759520
131036037a657
146b48313640
1539d5c38836
hex20c16408a8

140683511976 has 128 divisors (see below), whose sum is σ = 407650682880. Its totient is φ = 39627553536.

The previous prime is 140683511963. The next prime is 140683511987. The reversal of 140683511976 is 679115386041.

It is a happy number.

It is an unprimeable number.

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, 6780370 + ... + 6801086.

It is an arithmetic number, because the mean of its divisors is an integer number (3184770960).

Almost surely, 2140683511976 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 140683511976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203825341440).

140683511976 is an abundant number, since it is smaller than the sum of its proper divisors (266967170904).

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

140683511976 is a wasteful number, since it uses less digits than its factorization.

140683511976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21303 (or 21299 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 140683511976 in words is "one hundred forty billion, six hundred eighty-three million, five hundred eleven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 83 84 166 168 249 332 487 498 581 664 974 996 1162 1461 1743 1948 1992 2324 2922 3409 3486 3896 4648 5844 6818 6972 10227 11688 13636 13944 20454 20717 27272 40421 40908 41434 62151 80842 81816 82868 121263 124302 145019 161684 165736 242526 248604 282947 290038 323368 435057 485052 497208 565894 580076 848841 870114 970104 1131788 1160152 1697682 1719511 1740228 2263576 3395364 3439022 3480456 5158533 6790728 6878044 10089179 10317066 12036577 13756088 20178358 20634132 24073154 30267537 36109731 40356716 41268264 48146308 60535074 70624253 72219462 80713432 96292616 121070148 141248506 144438924 211872759 242140296 282497012 288877848 423745518 564994024 837401857 847491036 1674803714 1694982072 2512205571 3349607428 5024411142 5861812999 6699214856 10048822284 11723625998 17585438997 20097644568 23447251996 35170877994 46894503992 70341755988 140683511976