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313031141040 = 24355922106719
BaseRepresentation
bin1001000111000100001…
…11000010011010110000
31002220222200022120200110
410203202013002122300
520112041433003130
6355445435421320
731421126540232
oct4434207023260
91086880276613
10313031141040
11110834a11452
12508015b4840
13236987b4a57
1411217a96252
158221712ab0
hex48e21c26b0

313031141040 has 80 divisors (see below), whose sum is σ = 986843980800. Its totient is φ = 82060137216.

The previous prime is 313031141029. The next prime is 313031141041. The reversal of 313031141040 is 40141130313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 313031140998 and 313031141016.

It is not an unprimeable number, because it can be changed into a prime (313031141041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11039200 + ... + 11067519.

It is an arithmetic number, because the mean of its divisors is an integer number (12335549760).

Almost surely, 2313031141040 is an apocalyptic number.

313031141040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313031141040 is an abundant number, since it is smaller than the sum of its proper divisors (673812839760).

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

313031141040 is a wasteful number, since it uses less digits than its factorization.

313031141040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22106794 (or 22106788 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 313031141040 its reverse (40141130313), we get a palindrome (353172271353).

The spelling of 313031141040 in words is "three hundred thirteen billion, thirty-one million, one hundred forty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 59 60 80 118 120 177 236 240 295 354 472 590 708 885 944 1180 1416 1770 2360 2832 3540 4720 7080 14160 22106719 44213438 66320157 88426876 110533595 132640314 176853752 221067190 265280628 331600785 353707504 442134380 530561256 663201570 884268760 1061122512 1304296421 1326403140 1768537520 2608592842 2652806280 3912889263 5217185684 5305612560 6521482105 7825778526 10434371368 13042964210 15651557052 19564446315 20868742736 26085928420 31303114104 39128892630 52171856840 62606228208 78257785260 104343713680 156515570520 313031141040