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40004939328 = 2635310936067
BaseRepresentation
bin100101010000011110…
…101110111001000000
310211021000100110222120
4211100132232321000
51123412231024303
630213352404240
72614234242114
oct452036567100
9124230313876
1040004939328
1115a69822032
1279056a6680
133a070c1843
141d170d5744
151092160553
hex9507aee40

40004939328 has 112 divisors (see below), whose sum is σ = 108835911360. Its totient is φ = 12962985984.

The previous prime is 40004939309. The next prime is 40004939357. The reversal of 40004939328 is 82393940004.

It is a happy number.

It is a super-2 number, since 2×400049393282 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40004939328.

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, 1091151 + ... + 1127217.

Almost surely, 240004939328 is an apocalyptic number.

40004939328 is a gapful number since it is divisible by the number (48) 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 40004939328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54417955680).

40004939328 is an abundant number, since it is smaller than the sum of its proper divisors (68830972032).

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

40004939328 is a wasteful number, since it uses less digits than its factorization.

40004939328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36244 (or 36234 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 40004939328 in words is "forty billion, four million, nine hundred thirty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 109 159 192 212 218 318 327 424 436 636 654 848 872 1272 1308 1696 1744 2544 2616 3392 3488 5088 5232 5777 6976 10176 10464 11554 17331 20928 23108 34662 36067 46216 69324 72134 92432 108201 138648 144268 184864 216402 277296 288536 369728 432804 554592 577072 865608 1109184 1154144 1731216 1911551 2308288 3462432 3823102 3931303 5734653 6924864 7646204 7862606 11469306 11793909 15292408 15725212 22938612 23587818 30584816 31450424 45877224 47175636 61169632 62900848 91754448 94351272 122339264 125801696 183508896 188702544 208359059 251603392 367017792 377405088 416718118 625077177 754810176 833436236 1250154354 1666872472 2500308708 3333744944 5000617416 6667489888 10001234832 13334979776 20002469664 40004939328