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140313004224 = 2632961413113
BaseRepresentation
bin1000001010101101001…
…1101000100011000000
3111102011122200010211020
42002223103220203000
54244330112113344
6144243042345440
713065041600031
oct2025323504300
9442148603736
10140313004224
115456303a918
122323a65b280
1310301693bb3
146b11028a88
1539b344d719
hex20ab4e88c0

140313004224 has 112 divisors (see below), whose sum is σ = 390343156320. Its totient is φ = 44417802240.

The previous prime is 140313004217. The next prime is 140313004303. The reversal of 140313004224 is 422400313041.

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 = 140313004194 and 140313004203.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133092 + ... + 546204.

Almost surely, 2140313004224 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 140313004224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195171578160).

140313004224 is an abundant number, since it is smaller than the sum of its proper divisors (250030152096).

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

140313004224 is a wasteful number, since it uses less digits than its factorization.

140313004224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413218 (or 413208 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 140313004224 its reverse (422400313041), we get a palindrome (562713317265).

The spelling of 140313004224 in words is "one hundred forty billion, three hundred thirteen million, four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 61 64 87 96 116 122 174 183 192 232 244 348 366 464 488 696 732 928 976 1392 1464 1769 1856 1952 2784 2928 3538 3904 5307 5568 5856 7076 10614 11712 14152 21228 28304 42456 56608 84912 113216 169824 339648 413113 826226 1239339 1652452 2478678 3304904 4957356 6609808 9914712 11980277 13219616 19829424 23960554 25199893 26439232 35940831 39658848 47921108 50399786 71881662 75599679 79317696 95842216 100799572 143763324 151199358 191684432 201599144 287526648 302398716 383368864 403198288 575053296 604797432 730796897 766737728 806396576 1150106592 1209594864 1461593794 1612793152 2192390691 2300213184 2419189728 2923187588 4384781382 4838379456 5846375176 8769562764 11692750352 17539125528 23385500704 35078251056 46771001408 70156502112 140313004224