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2445040002144 = 2531032391034617
BaseRepresentation
bin100011100101000111101…
…111011010010001100000
322122202002001010101122110
4203211013233122101200
5310024420220032034
65111122540435320
7341435241051465
oct43450757322140
98582061111573
102445040002144
11862a32380453
12335a46b48b40
1314974917b34c
14864aa73566c
1543903ab6de9
hex23947bda460

2445040002144 has 96 divisors (see below), whose sum is σ = 6507664450560. Its totient is φ = 803722816512.

The previous prime is 2445040002089. The next prime is 2445040002151. The reversal of 2445040002144 is 4412000405442.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×24450400021442 (a number of 26 digits) contains 22 as substring.

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, 1845924 + ... + 2880540.

It is an arithmetic number, because the mean of its divisors is an integer number (67788171360).

Almost surely, 22445040002144 is an apocalyptic number.

2445040002144 is a gapful number since it is divisible by the number (24) 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 2445040002144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3253832225280).

2445040002144 is an abundant number, since it is smaller than the sum of its proper divisors (4062624448416).

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

2445040002144 is a wasteful number, since it uses less digits than its factorization.

2445040002144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034972 (or 1034964 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 2445040002144 its reverse (4412000405442), we get a palindrome (6857040407586).

The spelling of 2445040002144 in words is "two trillion, four hundred forty-five billion, forty million, two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 239 309 412 478 618 717 824 956 1236 1434 1648 1912 2472 2868 3296 3824 4944 5736 7648 9888 11472 22944 24617 49234 73851 98468 147702 196936 295404 393872 590808 787744 1034617 1181616 2069234 2363232 3103851 4138468 6207702 8276936 12415404 16553872 24830808 33107744 49661616 99323232 106565551 213131102 247273463 319696653 426262204 494546926 639393306 741820389 852524408 989093852 1278786612 1483640778 1705048816 1978187704 2557573224 2967281556 3410097632 3956375408 5115146448 5934563112 7912750816 10230292896 11869126224 23738252448 25469166689 50938333378 76407500067 101876666756 152815000134 203753333512 305630000268 407506667024 611260000536 815013334048 1222520001072 2445040002144