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13130232441440 = 255272950775923
BaseRepresentation
bin1011111100010001111011…
…0101110010101001100000
31201111020102110211000121112
42333010132311302221200
53210111204001111230
643531540121442452
72523425254160522
oct277043665625140
951436373730545
1013130232441440
1142025559aa594
121580888340428
13743238a6555a
14335714319a12
1517b832b11d95
hexbf11ed72a60

13130232441440 has 96 divisors (see below), whose sum is σ = 31042893379680. Its totient is φ = 5248248090624.

The previous prime is 13130232441437. The next prime is 13130232441523. The reversal of 13130232441440 is 4414423203131.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 13130232441397 and 13130232441406.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 2216818319 + ... + 2216824241.

It is an arithmetic number, because the mean of its divisors is an integer number (323363472705).

Almost surely, 213130232441440 is an apocalyptic number.

13130232441440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130232441440 is an abundant number, since it is smaller than the sum of its proper divisors (17912660938240).

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

13130232441440 is a wasteful number, since it uses less digits than its factorization.

13130232441440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13744 (or 13736 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 13130232441440 its reverse (4414423203131), we get a palindrome (17544655644571).

The spelling of 13130232441440 in words is "thirteen trillion, one hundred thirty billion, two hundred thirty-two million, four hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 2729 5077 5458 5923 10154 10916 11846 13645 20308 21832 23692 25385 27290 29615 40616 43664 47384 50770 54580 59230 81232 87328 94768 101540 109160 118460 162464 189536 203080 218320 236920 406160 436640 473840 812320 947680 13855133 16163867 27710266 30071071 32327734 55420532 60142142 64655468 69275665 80819335 110841064 120284284 129310936 138551330 150355355 161638670 221682128 240568568 258621872 277102660 300710710 323277340 443364256 481137136 517243744 554205320 601421420 646554680 962274272 1108410640 1202842840 1293109360 2216821280 2405685680 2586218720 4811371360 82063952759 164127905518 328255811036 410319763795 656511622072 820639527590 1313023244144 1641279055180 2626046488288 3282558110360 6565116220720 13130232441440