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4002044020000 = 25541315392477
BaseRepresentation
bin111010001111001100011…
…010011000010100100000
3112011120222022212200020121
4322033030122120110200
51011032141232120000
612302302540250024
7562065244615105
oct72171432302440
915146868780217
104002044020000
1113032915750a4
12547758540914
13230511416320
14db9b29b6aac
156e180665b1a
hex3a3cc698520

4002044020000 has 120 divisors (see below), whose sum is σ = 10602985330476. Its totient is φ = 1477677696000.

The previous prime is 4002044019971. The next prime is 4002044020019. The reversal of 4002044020000 is 204402004.

It can be written as a sum of positive squares in 10 ways, for example, as 880136680336 + 3121907339664 = 938156^2 + 1766892^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7436239 + ... + 7956238.

Almost surely, 24002044020000 is an apocalyptic number.

4002044020000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002044020000 is an abundant number, since it is smaller than the sum of its proper divisors (6600941310476).

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

4002044020000 is a wasteful number, since it uses less digits than its factorization.

4002044020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15392520 (or 15392497 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

Adding to 4002044020000 its reverse (204402004), we get a palindrome (4002248422004).

The spelling of 4002044020000 in words is "four trillion, two billion, forty-four million, twenty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3250 4000 5000 5200 6500 8125 10000 10400 13000 16250 20000 26000 32500 52000 65000 130000 260000 15392477 30784954 61569908 76962385 123139816 153924770 200102201 246279632 307849540 384811925 400204402 492559264 615699080 769623850 800408804 1000511005 1231398160 1539247700 1600817608 1924059625 2001022010 2462796320 3078495400 3201635216 3848119250 4002044020 5002555025 6156990800 6403270432 7696238500 8004088040 9620298125 10005110050 12313981600 15392477000 16008176080 19240596250 20010220100 25012775125 30784954000 32016352160 38481192500 40020440200 50025550250 61569908000 76962385000 80040880400 100051100500 125063875625 153924770000 160081760800 200102201000 250127751250 307849540000 400204402000 500255502500 800408804000 1000511005000 2001022010000 4002044020000