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140416006275076 = 2272829210212
BaseRepresentation
bin11111111011010100100110…
…001011001100000000000100
3200102011122020220102221011211
4133323110212023030000010
5121401033440101300301
61214350120041141204
741401502351214100
oct3773244613140004
9612148226387154
10140416006275076
11408171039a4a54
12138b969048a804
1360472321c120c
1426962571b6900
15113782121a051
hex7fb5262cc004

140416006275076 has 81 divisors (see below), whose sum is σ = 286472675319327. Its totient is φ = 60046827543360.

The previous prime is 140416006275049. The next prime is 140416006275113. The reversal of 140416006275076 is 670572600614041.

The square root of 140416006275076 is 11849726.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 3497924835076 + 136918081440000 = 1870274^2 + 11701200^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 137527919446 + ... + 137527920466.

Almost surely, 2140416006275076 is an apocalyptic number.

140416006275076 is the 11849726-th square number.

It is an amenable number.

140416006275076 is an abundant number, since it is smaller than the sum of its proper divisors (146056669044251).

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

140416006275076 is an frugal number, since it uses more digits than its factorization.

140416006275076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3718 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

140416006275076 divided by its sum of digits (49) gives a square (2865632781124 = 16928182).

The spelling of 140416006275076 in words is "one hundred forty trillion, four hundred sixteen billion, six million, two hundred seventy-five thousand, seventy-six".

Divisors: 1 2 4 7 14 28 49 98 196 829 1021 1658 2042 3316 4084 5803 7147 11606 14294 23212 28588 40621 50029 81242 100058 162484 200116 687241 846409 1042441 1374482 1692818 2084882 2748964 3385636 4169764 4810687 5924863 7297087 9621374 11849726 14594174 19242748 23699452 29188348 33674809 41474041 51079609 67349618 82948082 102159218 134699236 165896164 204318436 701673061 864183589 1403346122 1728367178 2806692244 3456734356 4911711427 6049285123 9823422854 12098570246 19646845708 24197140492 34381979989 42344995861 68763959978 84689991722 137527919956 169379983444 716408195281 1432816390562 2865632781124 5014857366967 10029714733934 20059429467868 35104001568769 70208003137538 140416006275076