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140445023130 = 232522323812939
BaseRepresentation
bin1000001011001100101…
…1001111101110011010
3111102111212002101201100
42002303023033232122
54300112411220010
6144304120132230
713101233666556
oct2026313175632
9442455071640
10140445023130
1154620610655
1223276907076
1310322b385a9
146b24792866
1539bed2a2c0
hex20b32cfb9a

140445023130 has 96 divisors (see below), whose sum is σ = 367073441280. Its totient is φ = 37255720320.

The previous prime is 140445023123. The next prime is 140445023153. The reversal of 140445023130 is 31320544041.

It is a happy number.

140445023130 is a `hidden beast` number, since 140 + 4 + 4 + 502 + 3 + 13 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 140445023094 and 140445023103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47785201 + ... + 47788139.

It is an arithmetic number, because the mean of its divisors is an integer number (3823681680).

Almost surely, 2140445023130 is an apocalyptic number.

140445023130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 140445023130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183536720640).

140445023130 is an abundant number, since it is smaller than the sum of its proper divisors (226628418150).

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

140445023130 is a wasteful number, since it uses less digits than its factorization.

140445023130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5556 (or 5553 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 140445023130 its reverse (31320544041), we get a palindrome (171765567171).

The spelling of 140445023130 in words is "one hundred forty billion, four hundred forty-five million, twenty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 223 446 669 1115 1338 2007 2230 2381 2939 3345 4014 4762 5878 6690 7143 8817 10035 11905 14286 14695 17634 20070 21429 23810 26451 29390 35715 42858 44085 52902 71430 88170 107145 132255 214290 264510 530963 655397 1061926 1310794 1592889 1966191 2654815 3185778 3276985 3932382 4778667 5309630 5898573 6553970 6997759 7964445 9557334 9830955 11797146 13995518 15928890 19661910 20993277 23893335 29492865 34988795 41986554 47786670 58985730 62979831 69977590 104966385 125959662 209932770 314899155 629798310 1560500257 3121000514 4681500771 7802501285 9363001542 14044502313 15605002570 23407503855 28089004626 46815007710 70222511565 140445023130