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4022040440 = 23511311491979
BaseRepresentation
bin1110111110111011…
…0111011101111000
3101101022011211020202
43233232313131320
531214120243230
61503034141332
7201445531265
oct35756673570
911338154222
104022040440
111784378570
12942b81848
134c136a7b2
142a225026c
1518817aa45
hexefbb7778

4022040440 has 128 divisors (see below), whose sum is σ = 10264320000. Its totient is φ = 1405171200.

The previous prime is 4022040439. The next prime is 4022040461. The reversal of 4022040440 is 440402204.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2031371 + ... + 2033349.

It is an arithmetic number, because the mean of its divisors is an integer number (80190000).

Almost surely, 24022040440 is an apocalyptic number.

4022040440 is a gapful number since it is divisible by the number (40) 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 4022040440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5132160000).

4022040440 is an abundant number, since it is smaller than the sum of its proper divisors (6242279560).

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

4022040440 is a wasteful number, since it uses less digits than its factorization.

4022040440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181 (or 2177 counting only the distinct ones).

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

The square root of 4022040440 is about 63419.5588127196. The cubic root of 4022040440 is about 1590.3112980402.

Adding to 4022040440 its reverse (440402204), we get a palindrome (4462442644).

The spelling of 4022040440 in words is "four billion, twenty-two million, forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 149 155 220 248 298 310 341 440 596 620 682 745 1192 1240 1364 1490 1639 1705 1979 2728 2980 3278 3410 3958 4619 5960 6556 6820 7916 8195 9238 9895 13112 13640 15832 16390 18476 19790 21769 23095 32780 36952 39580 43538 46190 50809 61349 65560 79160 87076 92380 101618 108845 122698 174152 184760 203236 217690 245396 254045 294871 306745 406472 435380 490792 508090 589742 613490 674839 870760 1016180 1179484 1226980 1349678 1474355 2032360 2358968 2453960 2699356 2948710 3243581 3374195 5398712 5897420 6487162 6748390 9141001 11794840 12974324 13496780 16217905 18282002 25948648 26993560 32435810 36564004 45705005 64871620 73128008 91410010 100551011 129743240 182820020 201102022 365640040 402204044 502755055 804408088 1005510110 2011020220 4022040440