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31444442300 = 22524324732957
BaseRepresentation
bin11101010010001111…
…000001110010111100
310000011102021011201002
4131102033001302330
51003344234123200
622240111305432
72162136230615
oct352217016274
9100142234632
1031444442300
11123766279a7
12611681b278
132c7170439b
141744208c0c
15c4084bbd5
hex7523c1cbc

31444442300 has 72 divisors (see below), whose sum is σ = 69873142416. Its totient is φ = 12276149760.

The previous prime is 31444442243. The next prime is 31444442311. The reversal of 31444442300 is 324444413.

It is a happy number.

It is a super-3 number, since 3×314444423003 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

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, 10632422 + ... + 10635378.

Almost surely, 231444442300 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 31444442300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34936571208).

31444442300 is an abundant number, since it is smaller than the sum of its proper divisors (38428700116).

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

31444442300 is a wasteful number, since it uses less digits than its factorization.

31444442300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5487 (or 5480 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 31444442300 its reverse (324444413), we get a palindrome (31768886713).

It can be divided in two parts, 3144 and 4442300, that added together give a palindrome (4445444).

The spelling of 31444442300 in words is "thirty-one billion, four hundred forty-four million, four hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 43 50 86 100 172 215 430 860 1075 2150 2473 2957 4300 4946 5914 9892 11828 12365 14785 24730 29570 49460 59140 61825 73925 106339 123650 127151 147850 212678 247300 254302 295700 425356 508604 531695 635755 1063390 1271510 2126780 2543020 2658475 3178775 5316950 6357550 7312661 10633900 12715100 14625322 29250644 36563305 73126610 146253220 182816525 314444423 365633050 628888846 731266100 1257777692 1572222115 3144444230 6288888460 7861110575 15722221150 31444442300