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13144851940 = 2251126781071
BaseRepresentation
bin11000011110111111…
…01000010111100100
31020221002100122222011
430033133220113210
5203410040230230
610012203444004
7643512253333
oct141737502744
936832318864
1013144851940
115635a20900
12266a226604
1313163ba5cc
148c9ab3d1a
1551e015e2a
hex30f7e85e4

13144851940 has 72 divisors (see below), whose sum is σ = 30795037056. Its totient is φ = 4708545600.

The previous prime is 13144851851. The next prime is 13144851943. The reversal of 13144851940 is 4915844131.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13144851893 and 13144851902.

It is not an unprimeable number, because it can be changed into a prime (13144851943) by changing a digit.

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, 121605 + ... + 202675.

It is an arithmetic number, because the mean of its divisors is an integer number (427708848).

Almost surely, 213144851940 is an apocalyptic number.

13144851940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13144851940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15397518528).

13144851940 is an abundant number, since it is smaller than the sum of its proper divisors (17650185116).

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

13144851940 is a wasteful number, since it uses less digits than its factorization.

13144851940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81169 (or 81156 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 13144851940 in words is "thirteen billion, one hundred forty-four million, eight hundred fifty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 121 134 220 242 268 335 484 605 670 737 1210 1340 1474 2420 2948 3685 7370 8107 14740 16214 32428 40535 81070 81071 162140 162142 324284 405355 810710 891781 1621420 1783562 3567124 4458905 5431757 8917810 9809591 10863514 17835620 19619182 21727028 27158785 39238364 49047955 54317570 59749327 98095910 108635140 119498654 196191820 238997308 298746635 597493270 657242597 1194986540 1314485194 2628970388 3286212985 6572425970 13144851940