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312601049040 = 243571731075561
BaseRepresentation
bin1001000110010000111…
…10010111011111010000
31002212212201000122101010
410203020132113133100
520110201332032130
6355335033210520
731404355034550
oct4431036273720
91085781018333
10312601049040
11110634162a15
1250701560a40
132362a668647
14111b68db160
1581e8aa80b0
hex48c87977d0

312601049040 has 160 divisors (see below), whose sum is σ = 1113903634176. Its totient is φ = 71038586880.

The previous prime is 312601049027. The next prime is 312601049063. The reversal of 312601049040 is 40940106213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 312601048989 and 312601049007.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 247141 + ... + 828420.

Almost surely, 2312601049040 is an apocalyptic number.

312601049040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312601049040 is an abundant number, since it is smaller than the sum of its proper divisors (801302585136).

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

312601049040 is a wasteful number, since it uses less digits than its factorization.

312601049040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075757 (or 1075751 counting only the distinct ones).

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

The spelling of 312601049040 in words is "three hundred twelve billion, six hundred one million, forty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 173 210 240 280 336 346 420 519 560 692 840 865 1038 1211 1384 1680 1730 2076 2422 2595 2768 3460 3633 4152 4844 5190 6055 6920 7266 8304 9688 10380 12110 13840 14532 18165 19376 20760 24220 29064 36330 41520 48440 58128 72660 96880 145320 290640 1075561 2151122 3226683 4302244 5377805 6453366 7528927 8604488 10755610 12906732 15057854 16133415 17208976 21511220 22586781 25813464 30115708 32266830 37644635 43022440 45173562 51626928 60231416 64533660 75289270 86044880 90347124 112933905 120462832 129067320 150578540 180694248 186072053 225867810 258134640 301157080 361388496 372144106 451735620 558216159 602314160 744288212 903471240 930360265 1116432318 1302504371 1488576424 1806942480 1860720530 2232864636 2605008742 2791080795 2977152848 3721441060 3907513113 4465729272 5210017484 5582161590 6512521855 7442882120 7815026226 8931458544 10420034968 11164323180 13025043710 14885764240 15630052452 19537565565 20840069936 22328646360 26050087420 31260104904 39075131130 44657292720 52100174840 62520209808 78150262260 104200349680 156300524520 312601049040