Search a number
-
+
312199026840 = 23335289073173
BaseRepresentation
bin1001000101100001000…
…00110001100010011000
31002211211200112210121000
410202300200301202120
520103340422324330
6355231112345000
731361403641301
oct4426040614230
91084750483530
10312199026840
11110448236768
125060a9a5160
132359529979c
141117936b7a8
1581c3645560
hex48b0831898

312199026840 has 64 divisors (see below), whose sum is σ = 1040663426400. Its totient is φ = 83253073536.

The previous prime is 312199026803. The next prime is 312199026871. The reversal of 312199026840 is 48620991213.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144535507 + ... + 144537666.

Almost surely, 2312199026840 is an apocalyptic number.

312199026840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312199026840 is an abundant number, since it is smaller than the sum of its proper divisors (728464399560).

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

312199026840 is a wasteful number, since it uses less digits than its factorization.

312199026840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289073193 (or 289073183 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 312199026840 in words is "three hundred twelve billion, one hundred ninety-nine million, twenty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 289073173 578146346 867219519 1156292692 1445365865 1734439038 2312585384 2601658557 2890731730 3468878076 4336097595 5203317114 5781463460 6937756152 7804975671 8672195190 10406634228 11562926920 13008292785 15609951342 17344390380 20813268456 26016585570 31219902684 34688780760 39024878355 52033171140 62439805368 78049756710 104066342280 156099513420 312199026840