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2125124054240 = 255114507267907
BaseRepresentation
bin11110111011001011010…
…000111010110011100000
321112011022112211101110012
4132323023100322303200
5234304223224213430
64304133555424052
7306351361263065
oct36731320726340
97464275741405
102125124054240
1174a295143780
122a3a438b5028
131255241c36a5
1474bdc54ac6c
153a42cc41695
hex1eecb43ace0

2125124054240 has 96 divisors (see below), whose sum is σ = 5478259941504. Its totient is φ = 772598039040.

The previous prime is 2125124054191. The next prime is 2125124054267. The reversal of 2125124054240 is 424504215212.

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 = 2125124054197 and 2125124054206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7798367 + ... + 8066273.

It is an arithmetic number, because the mean of its divisors is an integer number (57065207724).

Almost surely, 22125124054240 is an apocalyptic number.

2125124054240 is a gapful number since it is divisible by the number (20) 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 2125124054240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2739129970752).

2125124054240 is an abundant number, since it is smaller than the sum of its proper divisors (3353135887264).

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

2125124054240 is a wasteful number, since it uses less digits than its factorization.

2125124054240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272440 (or 272432 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 2125124054240 its reverse (424504215212), we get a palindrome (2549628269452).

The spelling of 2125124054240 in words is "two trillion, one hundred twenty-five billion, one hundred twenty-four million, fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 4507 9014 18028 22535 36056 45070 49577 72112 90140 99154 144224 180280 198308 247885 267907 360560 396616 495770 535814 721120 793232 991540 1071628 1339535 1586464 1983080 2143256 2679070 2946977 3966160 4286512 5358140 5893954 7932320 8573024 10716280 11787908 14734885 21432560 23575816 29469770 42865120 47151632 58939540 94303264 117879080 235758160 471516320 1207456849 2414913698 4829827396 6037284245 9659654792 12074568490 13282025339 19319309584 24149136980 26564050678 38638619168 48298273960 53128101356 66410126695 96596547920 106256202712 132820253390 193193095840 212512405424 265640506780 425024810848 531281013560 1062562027120 2125124054240