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13430433180 = 22353165910957
BaseRepresentation
bin11001000001000010…
…00010010110011100
31021122222201200210010
430200201002112130
5210001142330210
610100404443220
7653550540603
oct144041022634
937588650703
1013430433180
11577214725a
1227299a9510
13136060a4a8
149159b2a3a
15539127920
hex32084259c

13430433180 has 96 divisors (see below), whose sum is σ = 38880737280. Its totient is φ = 3460343040.

The previous prime is 13430433167. The next prime is 13430433229. The reversal of 13430433180 is 8133403431.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1220262 + ... + 1231218.

It is an arithmetic number, because the mean of its divisors is an integer number (405007680).

Almost surely, 213430433180 is an apocalyptic number.

13430433180 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 13430433180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19440368640).

13430433180 is an abundant number, since it is smaller than the sum of its proper divisors (25450304100).

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

13430433180 is a wasteful number, since it uses less digits than its factorization.

13430433180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11659 (or 11657 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 13430433180 in words is "thirteen billion, four hundred thirty million, four hundred thirty-three thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 659 930 1318 1860 1977 2636 3295 3954 6590 7908 9885 10957 13180 19770 20429 21914 32871 39540 40858 43828 54785 61287 65742 81716 102145 109570 122574 131484 164355 204290 219140 245148 306435 328710 339667 408580 612870 657420 679334 1019001 1225740 1358668 1698335 2038002 3396670 4076004 5095005 6793340 7220663 10190010 14441326 20380020 21661989 28882652 36103315 43323978 72206630 86647956 108309945 144413260 216619890 223840553 433239780 447681106 671521659 895362212 1119202765 1343043318 2238405530 2686086636 3357608295 4476811060 6715216590 13430433180