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312434213140 = 22573077269293
BaseRepresentation
bin1001000101111101000…
…01111100000100010100
31002212110002002111112201
410202332201330010110
520104331124310030
6355310313254244
731400260664530
oct4427641740424
91085402074481
10312434213140
11110558a71705
1250675704384
1323601c2358a
141119c6acbc0
1581d91002ca
hex48be87c114

312434213140 has 48 divisors (see below), whose sum is σ = 752284697472. Its totient is φ = 106771360896.

The previous prime is 312434213081. The next prime is 312434213191. The reversal of 312434213140 is 41312434213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 312434213099 and 312434213108.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3591667 + ... + 3677626.

It is an arithmetic number, because the mean of its divisors is an integer number (15672597864).

Almost surely, 2312434213140 is an apocalyptic number.

It is an amenable number.

312434213140 is an abundant number, since it is smaller than the sum of its proper divisors (439850484332).

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

312434213140 is a wasteful number, since it uses less digits than its factorization.

312434213140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7269616 (or 7269614 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 312434213140 its reverse (41312434213), we get a palindrome (353746647353).

The spelling of 312434213140 in words is "three hundred twelve billion, four hundred thirty-four million, two hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 307 614 1228 1535 2149 3070 4298 6140 8596 10745 21490 42980 7269293 14538586 29077172 36346465 50885051 72692930 101770102 145385860 203540204 254425255 508850510 1017701020 2231672951 4463345902 8926691804 11158364755 15621710657 22316729510 31243421314 44633459020 62486842628 78108553285 156217106570 312434213140