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40410331312 = 24131395932357
BaseRepresentation
bin100101101000101001…
…001011100010110000
310212022021011112020111
4211220221023202300
51130230021100222
630321513351104
72630256102001
oct455051134260
9125267145214
1040410331312
111615764002a
1279b9408494
133a700a0460
141d54ca11a8
1510b7a3b777
hex968a4b8b0

40410331312 has 80 divisors (see below), whose sum is σ = 85103615520. Its totient is φ = 18477674496.

The previous prime is 40410331303. The next prime is 40410331327. The reversal of 40410331312 is 21313301404.

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, 17143638 + ... + 17145994.

It is an arithmetic number, because the mean of its divisors is an integer number (1063795194).

Almost surely, 240410331312 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 40410331312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42551807760).

40410331312 is an abundant number, since it is smaller than the sum of its proper divisors (44693284208).

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

40410331312 is a wasteful number, since it uses less digits than its factorization.

40410331312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3110 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 40410331312 its reverse (21313301404), we get a palindrome (61723632716).

The spelling of 40410331312 in words is "forty billion, four hundred ten million, three hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 139 208 278 556 593 1112 1186 1807 2224 2357 2372 3614 4714 4744 7228 7709 9428 9488 14456 15418 18856 28912 30641 30836 37712 61282 61672 82427 122564 123344 164854 245128 327623 329708 490256 655246 659416 1071551 1310492 1318832 1397701 2143102 2620984 2795402 4259099 4286204 5241968 5590804 8518198 8572408 11181608 17036396 17144816 18170113 22363216 34072792 36340226 68145584 72680452 145360904 194280439 290721808 388560878 777121756 1554243512 2525645707 3108487024 5051291414 10102582828 20205165656 40410331312