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13250244124840 = 2358367318233253
BaseRepresentation
bin1100000011010001000000…
…0110000010000010101000
31201220201012021222012201111
43000310100012002002220
53214042444443443330
644103024512400104
72535204254513362
oct300642006020250
951821167865644
1013250244124840
114249440414608
12159bb9bb46034
137516534b0778
1433b45b023d32
1517ea08b2432a
hexc0d101820a8

13250244124840 has 128 divisors (see below), whose sum is σ = 30242944650240. Its totient is φ = 5223986159616.

The previous prime is 13250244124807. The next prime is 13250244124841. The reversal of 13250244124840 is 4842144205231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13250244124793 and 13250244124802.

It is not an unprimeable number, because it can be changed into a prime (13250244124841) 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, 4073236654 + ... + 4073239906.

It is an arithmetic number, because the mean of its divisors is an integer number (236273005080).

Almost surely, 213250244124840 is an apocalyptic number.

13250244124840 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 13250244124840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15121472325120).

13250244124840 is an abundant number, since it is smaller than the sum of its proper divisors (16992700525400).

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

13250244124840 is a wasteful number, since it uses less digits than its factorization.

13250244124840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5843 (or 5839 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 40.

The spelling of 13250244124840 in words is "thirteen trillion, two hundred fifty billion, two hundred forty-four million, one hundred twenty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 83 166 332 415 664 673 830 1346 1660 1823 2692 3253 3320 3365 3646 5384 6506 6730 7292 9115 13012 13460 14584 16265 18230 26024 26920 32530 36460 55859 65060 72920 111718 130120 151309 223436 269999 279295 302618 446872 539998 558590 605236 756545 1079996 1117180 1210472 1226879 1349995 1513090 2159992 2189269 2234360 2453758 2699990 3026180 4378538 4907516 5399980 5930219 6052360 6134395 8757076 9815032 10799960 10946345 11860438 12268790 17514152 21892690 23720876 24537580 29651095 43785380 47441752 49075160 59302190 87570760 101830957 118604380 181709327 203661914 237208760 363418654 407323828 492208177 509154785 726837308 814647656 908546635 984416354 1018309570 1453674616 1817093270 1968832708 2036619140 2461040885 3634186540 3937665416 3991037387 4073238280 4922081770 7268373080 7982074774 9844163540 15964149548 19688327080 19955186935 31928299096 39910373870 79820747740 159641495480 331256103121 662512206242 1325024412484 1656280515605 2650048824968 3312561031210 6625122062420 13250244124840