Search a number
-
+
405312339051984 = 243721313255898059
BaseRepresentation
bin101110000101000010010000…
…1111111100000010111010000
31222011002110222210102001112110
41130022010201333200113100
5411111114132244130414
63554005530145225320
7151241564413552500
oct13412044177402720
91864073883361473
10405312339051984
11108165aa7a18881
12395602b6332240
1314520a358c73c0
147213316baba00
1531cd186404459
hex170a121fe05d0

405312339051984 has 120 divisors (see below), whose sum is σ = 1311697624833120. Its totient is φ = 106895561939712.

The previous prime is 405312339051943. The next prime is 405312339051989. The reversal of 405312339051984 is 489150933213504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (405312339051989) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6627918454 + ... + 6627979605.

It is an arithmetic number, because the mean of its divisors is an integer number (10930813540276).

Almost surely, 2405312339051984 is an apocalyptic number.

It is an amenable number.

405312339051984 is an abundant number, since it is smaller than the sum of its proper divisors (906385285781136).

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

405312339051984 is a wasteful number, since it uses less digits than its factorization.

405312339051984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13255898097 (or 13255898084 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 57.

The spelling of 405312339051984 in words is "four hundred five trillion, three hundred twelve billion, three hundred thirty-nine million, fifty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 49 52 56 78 84 91 98 104 112 147 156 168 182 196 208 273 294 312 336 364 392 546 588 624 637 728 784 1092 1176 1274 1456 1911 2184 2352 2548 3822 4368 5096 7644 10192 15288 30576 13255898059 26511796118 39767694177 53023592236 79535388354 92791286413 106047184472 159070776708 172326674767 185582572826 212094368944 278373859239 318141553416 344653349534 371165145652 516980024301 556747718478 636283106832 649539004891 689306699068 742330291304 1033960048602 1113495436956 1206286723369 1299078009782 1378613398136 1484660582608 1948617014673 2067920097204 2226990873912 2412573446738 2598156019564 2757226796272 3618860170107 3897234029346 4135840194408 4453981747824 4825146893476 5196312039128 7237720340214 7794468058692 8271680388816 8444007063583 9650293786952 10392624078256 14475440680428 15588936117384 16888014127166 19300587573904 25332021190749 28950881360856 31177872234768 33776028254332 50664042381498 57901762721712 67552056508664 101328084762996 135104113017328 202656169525992 405312339051984