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31005400345540 = 2251873827693549
BaseRepresentation
bin1110000110011000000011…
…10111111010101111000100
311001210002100122211011100221
413003030001313322233010
513030443024442024130
6145535403445514124
76350031503333665
oct703140167725704
9131702318734327
1031005400345540
119974353205535
123589079a12944
13143ba4849930a
14792952b0936c
1538b7c56c787a
hex1c3301dfabc4

31005400345540 has 24 divisors (see below), whose sum is σ = 65146103933400. Its totient is φ = 12395538574848.

The previous prime is 31005400345453. The next prime is 31005400345583. The reversal of 31005400345540 is 4554300450013.

It can be written as a sum of positive squares in 4 ways, for example, as 4384567972096 + 26620832373444 = 2093936^2 + 5159538^2 .

It is a super-2 number, since 2×310054003455402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31005400345496 and 31005400345505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 413809315 + ... + 413884234.

It is an arithmetic number, because the mean of its divisors is an integer number (2714420997225).

Almost surely, 231005400345540 is an apocalyptic number.

It is an amenable number.

31005400345540 is an abundant number, since it is smaller than the sum of its proper divisors (34140703587860).

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

31005400345540 is a wasteful number, since it uses less digits than its factorization.

31005400345540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827695431 (or 827695429 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 31005400345540 its reverse (4554300450013), we get a palindrome (35559700795553).

The spelling of 31005400345540 in words is "thirty-one trillion, five billion, four hundred million, three hundred forty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 1873 3746 7492 9365 18730 37460 827693549 1655387098 3310774196 4138467745 8276935490 16553870980 1550270017277 3100540034554 6201080069108 7751350086385 15502700172770 31005400345540