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312703027340 = 225112863149729
BaseRepresentation
bin1001000110011101000…
…11011000100010001100
31002220010210220200022012
410203032203120202030
520110403433333330
6355353115040352
731410033606434
oct4431643304214
91086123820265
10312703027340
11110686785800
125072b7400b8
1323645822732
14111c62852c4
1582029edc95
hex48ce8d888c

312703027340 has 72 divisors (see below), whose sum is σ = 722642497920. Its totient is φ = 113577671680.

The previous prime is 312703027339. The next prime is 312703027363. The reversal of 312703027340 is 43720307213.

It is a junction number, because it is equal to n+sod(n) for n = 312703027297 and 312703027306.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2013596 + ... + 2163324.

It is an arithmetic number, because the mean of its divisors is an integer number (10036701360).

Almost surely, 2312703027340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312703027340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361321248960).

312703027340 is an abundant number, since it is smaller than the sum of its proper divisors (409939470580).

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

312703027340 is a wasteful number, since it uses less digits than its factorization.

312703027340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150623 (or 150610 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 32.

The spelling of 312703027340 in words is "three hundred twelve billion, seven hundred three million, twenty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 863 1210 1726 2420 3452 4315 8630 9493 17260 18986 37972 47465 94930 104423 149729 189860 208846 299458 417692 522115 598916 748645 1044230 1497290 1647019 2088460 2994580 3294038 6588076 8235095 16470190 18117209 32940380 36234418 72468836 90586045 129216127 181172090 258432254 362344180 516864508 646080635 1292161270 1421377397 2584322540 2842754794 5685509588 7106886985 14213773970 15635151367 28427547940 31270302734 62540605468 78175756835 156351513670 312703027340