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314445031100 = 225231631160751
BaseRepresentation
bin1001001001101100110…
…00100110011010111100
31010001122012210122012222
410210312120212122330
520122440411443400
6400242024144512
731501145443544
oct4446630463274
91101565718188
10314445031100
111113a0027a32
1250b37008138
13238626b78a5
141130d782324
1582a58ed185
hex49366266bc

314445031100 has 72 divisors (see below), whose sum is σ = 705477513216. Its totient is φ = 121527000000.

The previous prime is 314445031097. The next prime is 314445031237. The reversal of 314445031100 is 1130544413.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 314445031100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1875725 + ... + 2036475.

Almost surely, 2314445031100 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 314445031100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352738756608).

314445031100 is an abundant number, since it is smaller than the sum of its proper divisors (391032482116).

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

314445031100 is a wasteful number, since it uses less digits than its factorization.

314445031100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161427 (or 161420 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 314445031100 its reverse (1130544413), we get a palindrome (315575575513).

The spelling of 314445031100 in words is "three hundred fourteen billion, four hundred forty-five million, thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 124 155 310 620 631 775 1262 1550 2524 3100 3155 6310 12620 15775 19561 31550 39122 63100 78244 97805 160751 195610 321502 391220 489025 643004 803755 978050 1607510 1956100 3215020 4018775 4983281 8037550 9966562 16075100 19933124 24916405 49832810 99665620 101433881 124582025 202867762 249164050 405735524 498328100 507169405 1014338810 2028677620 2535847025 3144450311 5071694050 6288900622 10143388100 12577801244 15722251555 31444503110 62889006220 78611257775 157222515550 314445031100