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10024451001340 = 22531208926212953
BaseRepresentation
bin1001000111011111111111…
…0101110100101111111100
31022111022212020002211001121
42101313333311310233330
52303220033424020330
633153100314520324
72053146145414426
oct221677765645774
938438766084047
1010024451001340
113215389287246
12115a9804360a4
135793bca12259
14269286607816
15125b5b81e17a
hex91dffd74bfc

10024451001340 has 96 divisors (see below), whose sum is σ = 21756485076480. Its totient is φ = 3875782348800.

The previous prime is 10024451001293. The next prime is 10024451001349. The reversal of 10024451001340 is 4310015442001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10024451001349) 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, 3394665304 + ... + 3394668256.

It is an arithmetic number, because the mean of its divisors is an integer number (226630052880).

Almost surely, 210024451001340 is an apocalyptic number.

10024451001340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10024451001340 is an abundant number, since it is smaller than the sum of its proper divisors (11732034075140).

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

10024451001340 is a wasteful number, since it uses less digits than its factorization.

10024451001340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7703 (or 7701 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 10024451001340 its reverse (4310015442001), we get a palindrome (14334466443341).

The spelling of 10024451001340 in words is "ten trillion, twenty-four billion, four hundred fifty-one million, one thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 2089 2621 2953 4178 5242 5906 8356 10445 10484 11812 13105 14765 20890 26210 29530 41780 52420 59060 64759 81251 91543 129518 162502 183086 259036 323795 325004 366172 406255 457715 647590 812510 915430 1295180 1625020 1830860 5475269 6168817 7739813 10950538 12337634 15479626 21901076 24675268 27376345 30844085 30959252 38699065 54752690 61688170 77398130 109505380 123376340 154796260 169733339 191233327 239934203 339466678 382466654 479868406 678933356 764933308 848666695 956166635 959736812 1199671015 1697333390 1912333270 2399342030 3394666780 3824666540 4798684060 16168469357 32336938714 64673877428 80842346785 161684693570 323369387140 501222550067 1002445100134 2004890200268 2506112750335 5012225500670 10024451001340