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312120345444 = 223371529945949
BaseRepresentation
bin1001000101010111101…
…00101000001101100100
31002211122012111101000020
410202223310220031210
520103210302023234
6355215222115140
731356430106415
oct4425364501544
91084565441006
10312120345444
11110407886216
12505a857bab0
1323581bab64b
141116cb2980c
1581bb7a2549
hex48abd28364

312120345444 has 48 divisors (see below), whose sum is σ = 748029240000. Its totient is φ = 101219400576.

The previous prime is 312120345437. The next prime is 312120345451. The reversal of 312120345444 is 444543021213.

It is an interprime number because it is at equal distance from previous prime (312120345437) and next prime (312120345451).

It is a super-2 number, since 2×3121203454442 (a number of 24 digits) contains 22 as substring.

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, 6769782 + ... + 6815730.

It is an arithmetic number, because the mean of its divisors is an integer number (15583942500).

Almost surely, 2312120345444 is an apocalyptic number.

It is an amenable number.

312120345444 is an abundant number, since it is smaller than the sum of its proper divisors (435908894556).

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

312120345444 is a wasteful number, since it uses less digits than its factorization.

312120345444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61292 (or 61290 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 312120345444 its reverse (444543021213), we get a palindrome (756663366657).

The spelling of 312120345444 in words is "three hundred twelve billion, one hundred twenty million, three hundred forty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 15299 30598 45897 45949 61196 91794 91898 137847 183588 183796 275694 551388 566063 1132126 1698189 1700113 2264252 3396378 3400226 5100339 6792756 6800452 10200678 20401356 702973751 1405947502 2108921253 2811895004 4217842506 8435685012 26010028787 52020057574 78030086361 104040115148 156060172722 312120345444