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1041404605616 = 241728911712161
BaseRepresentation
bin11110010011110001000…
…11010011010010110000
310200120001021111022122202
433021320203103102300
5114030244034334431
62114225322522332
7135144656043644
oct17117043232260
93616037438582
101041404605616
11371725828a21
121499b83663a8
137728634cc8b
14385933a4c24
151c1517028cb
hexf2788d34b0

1041404605616 has 120 divisors (see below), whose sum is σ = 2170330531920. Its totient is φ = 483928473600.

The previous prime is 1041404605613. The next prime is 1041404605669. The reversal of 1041404605616 is 6165064041401.

It is a self number, because there is not a number n which added to its sum of digits gives 1041404605616.

It is not an unprimeable number, because it can be changed into a prime (1041404605613) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481907576 + ... + 481909736.

It is an arithmetic number, because the mean of its divisors is an integer number (18086087766).

Almost surely, 21041404605616 is an apocalyptic number.

1041404605616 is a gapful number since it is divisible by the number (16) 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 1041404605616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085165265960).

1041404605616 is an abundant number, since it is smaller than the sum of its proper divisors (1128925926304).

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

1041404605616 is a wasteful number, since it uses less digits than its factorization.

1041404605616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3463 (or 3440 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 1041404605616 in words is "one trillion, forty-one billion, four hundred four million, six hundred five thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 17 34 68 89 136 178 272 289 356 578 712 1156 1171 1424 1513 2161 2312 2342 3026 4322 4624 4684 6052 8644 9368 12104 17288 18736 19907 24208 25721 34576 36737 39814 51442 73474 79628 102884 104219 146948 159256 192329 205768 208438 293896 318512 338419 384658 411536 416876 587792 624529 676838 769316 833752 1249058 1353676 1538632 1667504 1771723 2498116 2530531 2707352 3077264 3269593 3543446 4996232 5061062 5414704 6539186 7086892 9992464 10122124 13078372 14173784 20244248 26156744 28347568 30119291 40488496 43019027 52313488 55583081 60238582 86038054 111166162 120477164 172076108 222332324 225217259 240954328 344152216 444664648 450434518 481908656 688304432 731323459 889329296 900869036 1462646918 1801738072 2925293836 3603476144 3828693403 5850587672 7657386806 11701175344 15314773612 30629547224 61259094448 65087787851 130175575702 260351151404 520702302808 1041404605616