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2543122521440 = 25519372611069
BaseRepresentation
bin100101000000011101111…
…010100001110101100000
3100000010020120200121212022
4211000131322201311200
5313131303331141230
65224143325321012
7351506642523314
oct45003572416540
910003216617768
102543122521440
118a0594400956
12350a5a706168
13155a7a646707
148b132c5bb44
15462447de1e5
hex2501dea1d60

2543122521440 has 144 divisors (see below), whose sum is σ = 6499902704400. Its totient is φ = 937661847552.

The previous prime is 2543122521437. The next prime is 2543122521449. The reversal of 2543122521440 is 441252213452.

It is a self number, because there is not a number n which added to its sum of digits gives 2543122521440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2543122521449) 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, 3856226 + ... + 4467294.

It is an arithmetic number, because the mean of its divisors is an integer number (45138213225).

Almost surely, 22543122521440 is an apocalyptic number.

2543122521440 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 2543122521440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249951352200).

2543122521440 is an abundant number, since it is smaller than the sum of its proper divisors (3956780182960).

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

2543122521440 is a wasteful number, since it uses less digits than its factorization.

2543122521440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611177 (or 611132 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

Adding to 2543122521440 its reverse (441252213452), we get a palindrome (2984374734892).

The spelling of 2543122521440 in words is "two trillion, five hundred forty-three billion, one hundred twenty-two million, five hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 37 38 40 74 76 80 95 148 152 160 185 190 296 304 370 380 592 608 703 740 760 1184 1369 1406 1480 1520 2738 2812 2960 3040 3515 5476 5624 5920 6845 7030 10952 11248 13690 14060 21904 22496 26011 27380 28120 43808 52022 54760 56240 104044 109520 112480 130055 208088 219040 260110 416176 520220 611069 832352 1040440 1222138 2080880 2444276 3055345 4161760 4888552 6110690 9777104 11610311 12221380 19554208 22609553 23220622 24442760 45219106 46441244 48885520 58051555 90438212 92882488 97771040 113047765 116103110 180876424 185764976 226095530 232206220 361752848 371529952 429581507 452191060 464412440 723505696 836553461 859163014 904382120 928824880 1673106922 1718326028 1808764240 1857649760 2147907535 3346213844 3436652056 3617528480 4182767305 4295815070 6692427688 6873304112 8365534610 8591630140 13384855376 13746608224 15894515759 16731069220 17183260280 26769710752 31789031518 33462138440 34366520560 63578063036 66924276880 68733041120 79472578795 127156126072 133848553760 158945157590 254312252144 317890315180 508624504288 635780630360 1271561260720 2543122521440