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1312155423400 = 2352231151247829
BaseRepresentation
bin10011000110000010100…
…011101101001010101000
311122102220100220221101211
4103012002203231022220
5132444243242022100
62442443524322504
7163541302033513
oct23060243551250
94572810827354
101312155423400
1146653358a758
1219237a243434
1396974509573
1447719aa3d7a
15241eb1471ba
hex131828ed2a8

1312155423400 has 96 divisors (see below), whose sum is σ = 3186181785600. Its totient is φ = 501603872000.

The previous prime is 1312155423349. The next prime is 1312155423413. The reversal of 1312155423400 is 43245512131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5170686 + ... + 5418514.

It is an arithmetic number, because the mean of its divisors is an integer number (33189393600).

Almost surely, 21312155423400 is an apocalyptic number.

1312155423400 is a gapful number since it is divisible by the number (10) 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 1312155423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1593090892800).

1312155423400 is an abundant number, since it is smaller than the sum of its proper divisors (1874026362200).

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

1312155423400 is a wasteful number, since it uses less digits than its factorization.

1312155423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249019 (or 249010 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The spelling of 1312155423400 in words is "one trillion, three hundred twelve billion, one hundred fifty-five million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 1151 2300 2302 4600 4604 5755 9208 11510 23020 26473 28775 46040 52946 57550 105892 115100 132365 211784 230200 247829 264730 495658 529460 661825 991316 1058920 1239145 1323650 1982632 2478290 2647300 4956580 5294600 5700067 6195725 9913160 11400134 12391450 22800268 24782900 28500335 45600536 49565800 57000670 114001340 142501675 228002680 285003350 285251179 570006700 570502358 1140013400 1141004716 1426255895 2282009432 2852511790 5705023580 6560777117 7131279475 11410047160 13121554234 14262558950 26243108468 28525117900 32803885585 52486216936 57050235800 65607771170 131215542340 164019427925 262431084680 328038855850 656077711700 1312155423400