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2444135051540 = 2257131342931347
BaseRepresentation
bin100011100100010001110…
…011010011000100010100
322122122201222022010210102
4203210101303103010110
5310021042033122130
65110453052313232
7341403642103520
oct43442163230424
98578658263712
102444135051540
11862608577696
12335833a72818
13149633840510
148642248ad80
154389e40d645
hex23911cd3114

2444135051540 has 48 divisors (see below), whose sum is σ = 6317149060992. Its totient is φ = 773528455296.

The previous prime is 2444135051507. The next prime is 2444135051543. The reversal of 2444135051540 is 451505314442.

It is a junction number, because it is equal to n+sod(n) for n = 2444135051494 and 2444135051503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2444135051543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671463854 + ... + 671467493.

It is an arithmetic number, because the mean of its divisors is an integer number (131607272104).

Almost surely, 22444135051540 is an apocalyptic number.

2444135051540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2444135051540 is an abundant number, since it is smaller than the sum of its proper divisors (3873014009452).

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

2444135051540 is a wasteful number, since it uses less digits than its factorization.

2444135051540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1342931376 (or 1342931374 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 38.

The spelling of 2444135051540 in words is "two trillion, four hundred forty-four billion, one hundred thirty-five million, fifty-one thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 1342931347 2685862694 5371725388 6714656735 9400519429 13429313470 17458107511 18801038858 26858626940 34916215022 37602077716 47002597145 69832430044 87290537555 94005194290 122206752577 174581075110 188010388580 244413505154 349162150220 488827010308 611033762885 1222067525770 2444135051540