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313434425444 = 22729412229627
BaseRepresentation
bin1001000111110100010…
…01011100100001100100
31002222000210011112212212
410203322021130201210
520113403203103234
6355553443302552
731434124441430
oct4437211344144
91088023145785
10313434425444
11110a2161aa48
12508b467aa58
132373120628a
14112554739c0
158246d245ce
hex48fa25c864

313434425444 has 72 divisors (see below), whose sum is σ = 664690393920. Its totient is φ = 126533111040.

The previous prime is 313434425429. The next prime is 313434425453. The reversal of 313434425444 is 444524434313.

It is a super-2 number, since 2×3134344254442 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

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, 1250159 + ... + 1479785.

Almost surely, 2313434425444 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 313434425444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332345196960).

313434425444 is an abundant number, since it is smaller than the sum of its proper divisors (351255968476).

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

313434425444 is a wasteful number, since it uses less digits than its factorization.

313434425444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229749 (or 229706 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 41.

Adding to 313434425444 its reverse (444524434313), we get a palindrome (757958859757).

The spelling of 313434425444 in words is "three hundred thirteen billion, four hundred thirty-four million, four hundred twenty-five thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 29 41 58 82 116 164 203 287 406 574 812 1148 1189 1681 2378 3362 4756 6724 8323 11767 16646 23534 33292 47068 48749 97498 194996 229627 341243 459254 682486 918508 1364972 1607389 3214778 6429556 6659183 9414707 13318366 18829414 26636732 37658828 46614281 65902949 93228562 131805898 186457124 263611796 273026503 386002987 546053006 772005974 1092106012 1544011948 1911185521 2702020909 3822371042 5404041818 7644742084 10808083636 11194086623 22388173246 44776346492 78358606361 156717212722 313434425444