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2444440020440 = 2351121015000491
BaseRepresentation
bin100011100100100011111…
…110101010010111011000
322122200112020011011110212
4203210203332222113120
5310022203121123230
65110543225030252
7341414334226625
oct43444376522730
98580466134425
102444440020440
11862754735300
123358ba025388
13149681a8aba2
1486450b9534c
15438bb09e895
hex23923faa5d8

2444440020440 has 96 divisors (see below), whose sum is σ = 6105300702480. Its totient is φ = 880086240000.

The previous prime is 2444440020437. The next prime is 2444440020479. The reversal of 2444440020440 is 440200444442.

It is a junction number, because it is equal to n+sod(n) for n = 2444440020397 and 2444440020406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2011406 + ... + 2989085.

Almost surely, 22444440020440 is an apocalyptic number.

2444440020440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2444440020440 is an abundant number, since it is smaller than the sum of its proper divisors (3660860682040).

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

2444440020440 is a wasteful number, since it uses less digits than its factorization.

2444440020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5000625 (or 5000610 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

Adding to 2444440020440 its reverse (440200444442), we get a palindrome (2884640464882).

The spelling of 2444440020440 in words is "two trillion, four hundred forty-four billion, four hundred forty million, twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 121 202 220 242 404 440 484 505 605 808 968 1010 1111 1210 2020 2222 2420 4040 4444 4840 5555 8888 11110 12221 22220 24442 44440 48884 61105 97768 122210 244420 488840 5000491 10000982 20001964 25002455 40003928 50004910 55005401 100009820 110010802 200019640 220021604 275027005 440043208 505049591 550054010 605059411 1010099182 1100108020 1210118822 2020198364 2200216040 2420237644 2525247955 3025297055 4040396728 4840475288 5050495910 5555545501 6050594110 10100991820 11111091002 12101188220 20201983640 22222182004 24202376440 27777727505 44444364008 55555455010 61111000511 111110910020 122222001022 222221820040 244444002044 305555002555 488888004088 611110005110 1222220010220 2444440020440