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40744457928 = 23327930723333
BaseRepresentation
bin100101111100100011…
…110001011011001000
310220011112212220210100
4211330203301123020
51131421040123203
630415011045400
72641454115036
oct457443613310
9126145786710
1040744457928
1116309203329
127a912a0860
133ac4389605
141d873d9556
1510d703bea3
hex97c8f16c8

40744457928 has 96 divisors (see below), whose sum is σ = 112115203200. Its totient is φ = 13365316224.

The previous prime is 40744457867. The next prime is 40744457939. The reversal of 40744457928 is 82975444704.

40744457928 is a `hidden beast` number, since 4 + 0 + 7 + 4 + 44 + 579 + 28 = 666.

40744457928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×407444579282 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1734550 + ... + 1757882.

It is an arithmetic number, because the mean of its divisors is an integer number (1167866700).

Almost surely, 240744457928 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 40744457928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56057601600).

40744457928 is an abundant number, since it is smaller than the sum of its proper divisors (71370745272).

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

40744457928 is a wasteful number, since it uses less digits than its factorization.

40744457928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23731 (or 23724 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 40744457928 in words is "forty billion, seven hundred forty-four million, four hundred fifty-seven thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 79 158 237 307 316 474 614 632 711 921 948 1228 1422 1842 1896 2456 2763 2844 3684 5526 5688 7368 11052 22104 23333 24253 46666 48506 69999 72759 93332 97012 139998 145518 186664 194024 209997 218277 279996 291036 419994 436554 559992 582072 839988 873108 1679976 1746216 1843307 3686614 5529921 7163231 7373228 11059842 14326462 14746456 16589763 21489693 22119684 28652924 33179526 42979386 44239368 57305848 64469079 66359052 85958772 128938158 132718104 171917544 257876316 515752632 565895249 1131790498 1697685747 2263580996 3395371494 4527161992 5093057241 6790742988 10186114482 13581485976 20372228964 40744457928