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140060205024 = 25371149137911
BaseRepresentation
bin1000001001110000111…
…1010001111111100000
3111101112000222121111220
42002130033101333200
54243320403030044
6144202012135040
713055552046105
oct2023417217740
9441460877456
10140060205024
1154443375063
1223189a67480
13102911b137c
146ac9620aac
15399b165019
hex209c3d1fe0

140060205024 has 96 divisors (see below), whose sum is σ = 375341299200. Its totient is φ = 45719923200.

The previous prime is 140060205023. The next prime is 140060205037. The reversal of 140060205024 is 420502060041.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1400602050242 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 140060204985 and 140060205003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140060205023) 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, 946629 + ... + 1084539.

It is an arithmetic number, because the mean of its divisors is an integer number (3909805200).

Almost surely, 2140060205024 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 140060205024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187670649600).

140060205024 is an abundant number, since it is smaller than the sum of its proper divisors (235281094176).

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

140060205024 is a wasteful number, since it uses less digits than its factorization.

140060205024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138144 (or 138136 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 140060205024 its reverse (420502060041), we get a palindrome (560562265065).

The spelling of 140060205024 in words is "one hundred forty billion, sixty million, two hundred five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 149 213 284 298 426 447 568 596 852 894 1136 1192 1704 1788 2272 2384 3408 3576 4768 6816 7152 10579 14304 21158 31737 42316 63474 84632 126948 137911 169264 253896 275822 338528 413733 507792 551644 827466 1015584 1103288 1654932 2206576 3309864 4413152 6619728 9791681 13239456 19583362 20548739 29375043 39166724 41097478 58750086 61646217 78333448 82194956 117500172 123292434 156666896 164389912 235000344 246584868 313333792 328779824 470000688 493169736 657559648 940001376 986339472 1458960469 1972678944 2917920938 4376881407 5835841876 8753762814 11671683752 17507525628 23343367504 35015051256 46686735008 70030102512 140060205024