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5020340102440 = 23513457111718913
BaseRepresentation
bin100100100001110001110…
…0101101010010100101000
3122202221101010121101111121
41021003203211222110220
51124223124031234230
614402151251305024
71025464464531265
oct111034345522450
918687333541447
105020340102440
111666129120583
12690b858ab174
132a555406b040
14134db2cc026c
158a8cd26d77a
hex490e396a528

5020340102440 has 128 divisors (see below), whose sum is σ = 12202848272160. Its totient is φ = 1847854301184.

The previous prime is 5020340102431. The next prime is 5020340102443. The reversal of 5020340102440 is 442010430205.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 588801467556 + 4431538634884 = 767334^2 + 2105122^2 .

It is not an unprimeable number, because it can be changed into a prime (5020340102443) 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, 265434424 + ... + 265453336.

Almost surely, 25020340102440 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 5020340102440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6101424136080).

5020340102440 is an abundant number, since it is smaller than the sum of its proper divisors (7182508169720).

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

5020340102440 is a wasteful number, since it uses less digits than its factorization.

5020340102440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20511 (or 20507 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 5020340102440 its reverse (442010430205), we get a palindrome (5462350532645).

The spelling of 5020340102440 in words is "five trillion, twenty billion, three hundred forty million, one hundred two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 457 520 914 1117 1828 2234 2285 3656 4468 4570 5585 5941 8936 9140 11170 11882 14521 18280 18913 22340 23764 29042 29705 37826 44680 47528 58084 59410 72605 75652 94565 116168 118820 145210 151304 189130 237640 245869 290420 378260 491738 510469 580840 756520 983476 1020938 1229345 1966952 2041876 2458690 2552345 4083752 4917380 5104690 6636097 8643241 9834760 10209380 13272194 17286482 20418760 21125821 26544388 33180485 34572964 42251642 43216205 53088776 66360970 69145928 84503284 86432410 105629105 112362133 132721940 169006568 172864820 211258210 224724266 265443880 274635673 345729640 422516420 449448532 549271346 561810665 845032840 898897064 1098542692 1123621330 1373178365 2197085384 2247242660 2746356730 4494485320 5492713460 9654500197 10985426920 19309000394 38618000788 48272500985 77236001576 96545001970 125508502561 193090003940 251017005122 386180007880 502034010244 627542512805 1004068020488 1255085025610 2510170051220 5020340102440