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41312661312 = 2631329570743
BaseRepresentation
bin100110011110011011…
…010010111101000000
310221122011001122022010
4212132123102331000
51134102020130222
630551225412520
72661523553466
oct463633227500
9127564048263
1041312661312
111657aa139aa
12800b63a140
133b85001530
141ddca66836
15111bd7880c
hex99e6d2f40

41312661312 has 112 divisors (see below), whose sum is σ = 121773939840. Its totient is φ = 12273235968.

The previous prime is 41312661311. The next prime is 41312661317. The reversal of 41312661312 is 21316621314.

41312661312 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 2×413126613122 (a number of 22 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 41312661312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41312661311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212988 + ... + 357755.

It is an arithmetic number, because the mean of its divisors is an integer number (1087267320).

Almost surely, 241312661312 is an apocalyptic number.

It is an amenable number.

41312661312 is an abundant number, since it is smaller than the sum of its proper divisors (80461278528).

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

41312661312 is a wasteful number, since it uses less digits than its factorization.

41312661312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570800 (or 570790 counting only the distinct ones).

The product of its digits is 5184, while the sum is 30.

The spelling of 41312661312 in words is "forty-one billion, three hundred twelve million, six hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 156 174 192 208 232 312 348 377 416 464 624 696 754 832 928 1131 1248 1392 1508 1856 2262 2496 2784 3016 4524 5568 6032 9048 12064 18096 24128 36192 72384 570743 1141486 1712229 2282972 3424458 4565944 6848916 7419659 9131888 13697832 14839318 16551547 18263776 22258977 27395664 29678636 33103094 36527552 44517954 49654641 54791328 59357272 66206188 89035908 99309282 109582656 118714544 132412376 178071816 198618564 215170111 237429088 264824752 356143632 397237128 430340222 474858176 529649504 645510333 712287264 794474256 860680444 1059299008 1291020666 1424574528 1588948512 1721360888 2582041332 3177897024 3442721776 5164082664 6885443552 10328165328 13770887104 20656330656 41312661312