Search a number
-
+
2144445091968 = 27331180144917
BaseRepresentation
bin11111001101001010111…
…000110101000010000000
321121000012001202210120010
4133031022320311002000
5240113310420420333
64321051112344520
7310634230346124
oct37151270650200
97530161683503
102144445091968
117574aa392353
122a77363a5140
131272b30167aa
1475b125b3584
153abae093563
hex1f34ae35080

2144445091968 has 64 divisors (see below), whose sum is σ = 5879930123520. Its totient is φ = 691756477440.

The previous prime is 2144445091951. The next prime is 2144445091979. The reversal of 2144445091968 is 8691905444412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×21444450919682 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90060555 + ... + 90084362.

It is an arithmetic number, because the mean of its divisors is an integer number (91873908180).

Almost surely, 22144445091968 is an apocalyptic number.

It is an amenable number.

2144445091968 is an abundant number, since it is smaller than the sum of its proper divisors (3735485031552).

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

2144445091968 is a wasteful number, since it uses less digits than its factorization.

2144445091968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180144965 (or 180144953 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 57.

The spelling of 2144445091968 in words is "two trillion, one hundred forty-four billion, four hundred forty-five million, ninety-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11904 180144917 360289834 540434751 720579668 1080869502 1441159336 2161739004 2882318672 4323478008 5584492427 5764637344 8646956016 11168984854 11529274688 16753477281 17293912032 22337969708 23058549376 33506954562 34587824064 44675939416 67013909124 69175648128 89351878832 134027818248 178703757664 268055636496 357407515328 536111272992 714815030656 1072222545984 2144445091968