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13430881080 = 2333533137571
BaseRepresentation
bin11001000001000101…
…01111101100111000
31021200000120110012000
430200202233230320
5210001301143310
610100422221000
7653554414461
oct144042575470
937600513160
1013430881080
115772422821
122729b84760
131360736316
14915a8bd68
155391b54c0
hex3208afb38

13430881080 has 128 divisors (see below), whose sum is σ = 44906054400. Its totient is φ = 3570652800.

The previous prime is 13430881043. The next prime is 13430881081. The reversal of 13430881080 is 8018803431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13430881081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338695 + ... + 376265.

It is an arithmetic number, because the mean of its divisors is an integer number (350828550).

Almost surely, 213430881080 is an apocalyptic number.

13430881080 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 13430881080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22453027200).

13430881080 is an abundant number, since it is smaller than the sum of its proper divisors (31475173320).

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

13430881080 is a wasteful number, since it uses less digits than its factorization.

13430881080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37922 (or 37912 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 13430881080 in words is "thirteen billion, four hundred thirty million, eight hundred eighty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 331 360 540 662 993 1080 1324 1655 1986 2648 2979 3310 3972 4965 5958 6620 7944 8937 9930 11916 13240 14895 17874 19860 23832 29790 35748 37571 39720 44685 59580 71496 75142 89370 112713 119160 150284 178740 187855 225426 300568 338139 357480 375710 450852 563565 676278 751420 901704 1014417 1127130 1352556 1502840 1690695 2028834 2254260 2705112 3381390 4057668 4508520 5072085 6762780 8115336 10144170 12436001 13525560 20288340 24872002 37308003 40576680 49744004 62180005 74616006 99488008 111924009 124360010 149232012 186540015 223848018 248720020 298464024 335772027 373080030 447696036 497440040 559620045 671544054 746160060 895392072 1119240090 1343088108 1492320120 1678860135 2238480180 2686176216 3357720270 4476960360 6715440540 13430881080