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2240040240020 = 2251173139479467
BaseRepresentation
bin100000100110001100110…
…011011000001110010100
321221010221020220110220002
4200212030303120032110
5243200100300140040
64433021004230432
7320560166610512
oct40461463301624
97833836813802
102240040240020
11793aa5354a40
12302174b3b418
1313330908495b
147a5c06154b2
153d406736a15
hex2098ccd8394

2240040240020 has 48 divisors (see below), whose sum is σ = 5202026238528. Its totient is φ = 803401724160.

The previous prime is 2240040239993. The next prime is 2240040240023. The reversal of 2240040240020 is 200420400422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2240040239974 and 2240040240001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240040240023) 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, 69723674 + ... + 69755793.

It is an arithmetic number, because the mean of its divisors is an integer number (108375546636).

Almost surely, 22240040240020 is an apocalyptic number.

2240040240020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240040240020 is an abundant number, since it is smaller than the sum of its proper divisors (2961985998508).

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

2240040240020 is a wasteful number, since it uses less digits than its factorization.

2240040240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139479560 (or 139479558 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 2240040240020 its reverse (200420400422), we get a palindrome (2440460640442).

The spelling of 2240040240020 in words is "two trillion, two hundred forty billion, forty million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 730 803 1460 1606 3212 4015 8030 16060 139479467 278958934 557917868 697397335 1394794670 1534274137 2789589340 3068548274 6137096548 7671370685 10182001091 15342741370 20364002182 30685482740 40728004364 50910005455 101820010910 112002012001 203640021820 224004024002 448008048004 560010060005 1120020120010 2240040240020