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412341104011232 = 251129279114472919
BaseRepresentation
bin101110111000001011010010…
…1000001111110011111100000
32000001222102110111201100212202
41131300112211001332133200
5413021244040111324412
64020550515455512332
7152565442644131654
oct13560264501763740
92001872414640782
10412341104011232
1110a42597555a810
123a2b65755286a8
13149107a3775176
1473b75b73daa64
1532a0e120be3c2
hex17705a507e7e0

412341104011232 has 96 divisors (see below), whose sum is σ = 916462345075200. Its totient is φ = 180899896665600.

The previous prime is 412341104011229. The next prime is 412341104011303. The reversal of 412341104011232 is 232110401143214.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 412341104011195 and 412341104011204.

It is a congruent number.

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, 21254069 + ... + 35726987.

It is an arithmetic number, because the mean of its divisors is an integer number (9546482761200).

Almost surely, 2412341104011232 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 412341104011232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458231172537600).

412341104011232 is an abundant number, since it is smaller than the sum of its proper divisors (504121241063968).

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

412341104011232 is a wasteful number, since it uses less digits than its factorization.

412341104011232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14475760 (or 14475752 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

Adding to 412341104011232 its reverse (232110401143214), we get a palindrome (644451505154446).

The spelling of 412341104011232 in words is "four hundred twelve trillion, three hundred forty-one billion, one hundred four million, eleven thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 638 928 1276 2552 2791 5104 5582 10208 11164 22328 30701 44656 61402 80939 89312 122804 161878 245608 323756 491216 647512 890329 982432 1295024 1780658 2590048 3561316 7122632 14245264 14472919 28490528 28945838 57891676 115783352 159202109 231566704 318404218 419714651 463133408 636808436 839429302 1273616872 1678858604 2547233744 3357717208 4616861161 5094467488 6715434416 9233722322 13430868832 18467444644 36934889288 40393916929 73869778576 80787833858 147739557152 161575667716 323151335432 444333086219 646302670864 888666172438 1171423590941 1292605341728 1777332344876 2342847181882 3554664689752 4685694363764 7109329379504 9371388727528 12885659500351 14218658759008 18742777455056 25771319000702 37485554910112 51542638001404 103085276002808 206170552005616 412341104011232