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31144132204140 = 22353116744157099
BaseRepresentation
bin1110001010011010011101…
…11011111101011001101100
311002021100110010021210011010
413011031032323331121230
513040231140321013030
6150123230011025220
76363042425562024
oct705151673753154
9132240403253133
1031144132204140
119a1817478122a
1235abb36a3b210
13144bb573c9287
14799553b4aa84
153901e4ded6b0
hex1c534eefd66c

31144132204140 has 48 divisors (see below), whose sum is σ = 90016588569600. Its totient is φ = 8037195407040.

The previous prime is 31144132204051. The next prime is 31144132204177. The reversal of 31144132204140 is 4140223144113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 31144132204098 and 31144132204107.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8372076690 + ... + 8372080409.

It is an arithmetic number, because the mean of its divisors is an integer number (1875345595200).

Almost surely, 231144132204140 is an apocalyptic number.

31144132204140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31144132204140 is an abundant number, since it is smaller than the sum of its proper divisors (58872456365460).

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

31144132204140 is a wasteful number, since it uses less digits than its factorization.

31144132204140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16744157142 (or 16744157140 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 31144132204140 its reverse (4140223144113), we get a palindrome (35284355348253).

The spelling of 31144132204140 in words is "thirty-one trillion, one hundred forty-four billion, one hundred thirty-two million, two hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 16744157099 33488314198 50232471297 66976628396 83720785495 100464942594 167441570990 200929885188 251162356485 334883141980 502324712970 519068870069 1004649425940 1038137740138 1557206610207 2076275480276 2595344350345 3114413220414 5190688700690 6228826440828 7786033051035 10381377401380 15572066102070 31144132204140