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140045130064 = 24729388911087
BaseRepresentation
bin1000001001101101010…
…1110001100101010000
3111101110222121201120001
42002123111301211100
54243303023130224
6144200313055344
713055306651560
oct2023325614520
9441428551501
10140045130064
1154435909014
12231849b7554
131028b033888
146ac7618da0
153999b88544
hex209b571950

140045130064 has 80 divisors (see below), whose sum is σ = 320904460800. Its totient is φ = 57929582592.

The previous prime is 140045130053. The next prime is 140045130067. The reversal of 140045130064 is 460031540041.

It is a super-2 number, since 2×1400451300642 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140045130067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12625929 + ... + 12637015.

It is an arithmetic number, because the mean of its divisors is an integer number (4011305760).

Almost surely, 2140045130064 is an apocalyptic number.

140045130064 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 140045130064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160452230400).

140045130064 is an abundant number, since it is smaller than the sum of its proper divisors (180859330736).

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

140045130064 is a wasteful number, since it uses less digits than its factorization.

140045130064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15020 (or 15014 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 140045130064 in words is "one hundred forty billion, forty-five million, one hundred thirty thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 203 232 406 464 812 1624 3248 3889 7778 11087 15556 22174 27223 31112 44348 54446 62224 77609 88696 108892 112781 155218 177392 217784 225562 310436 321523 435568 451124 620872 643046 789467 902248 1241744 1286092 1578934 1804496 2250661 2572184 3157868 4501322 5144368 6315736 9002644 12631472 18005288 36010576 43117343 86234686 172469372 301821401 344938744 603642802 689877488 1207285604 1250402947 2414571208 2500805894 4829142416 5001611788 8752820629 10003223576 17505641258 20006447152 35011282516 70022565032 140045130064