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2115459532144 = 247192109480013
BaseRepresentation
bin11110110010001011001…
…101101100010101110000
321111020101000022210111101
4132302023031230111300
5234124430120012034
64255454555254144
7305560026222610
oct36621315542560
97436330283441
102115459532144
11746185835232
122a1ba714a354
13124643b7646a
1474562b94a40
153a06454e514
hex1ec8b36c570

2115459532144 has 120 divisors (see below), whose sum is σ = 4989111911520. Its totient is φ = 851026715136.

The previous prime is 2115459532141. The next prime is 2115459532171. The reversal of 2115459532144 is 4412359545112.

It is a super-2 number, since 2×21154595321442 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2115459532094 and 2115459532103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2115459532141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4167082 + ... + 4647094.

It is an arithmetic number, because the mean of its divisors is an integer number (41575932596).

Almost surely, 22115459532144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115459532144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494555955760).

2115459532144 is an abundant number, since it is smaller than the sum of its proper divisors (2873652379376).

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

2115459532144 is a wasteful number, since it uses less digits than its factorization.

2115459532144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480175 (or 480150 counting only the distinct ones).

The product of its digits is 864000, while the sum is 46.

The spelling of 2115459532144 in words is "two trillion, one hundred fifteen billion, four hundred fifty-nine million, five hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 109 112 133 152 218 266 304 361 436 532 722 763 872 1064 1444 1526 1744 2071 2128 2527 2888 3052 4142 5054 5776 6104 8284 10108 12208 14497 16568 20216 28994 33136 39349 40432 57988 78698 115976 157396 231952 275443 314792 480013 550886 629584 960026 1101772 1920052 2203544 3360091 3840104 4407088 6720182 7680208 9120247 13440364 18240494 26880728 36480988 52321417 53761456 63841729 72961976 104642834 127683458 145923952 173284693 209285668 255366916 346569386 366249919 418571336 510733832 693138772 732499838 837142672 994106923 1021467664 1212992851 1386277544 1464999676 1988213846 2425985702 2772555088 2929999352 3976427692 4851971404 5859998704 6958748461 7952855384 9703942808 13917496922 15905710768 18888031537 19407885616 27834993844 37776063074 55669987688 75552126148 111339975376 132216220759 151104252296 264432441518 302208504592 528864883036 1057729766072 2115459532144