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4020444410022 = 2323147210331667
BaseRepresentation
bin111010100000010101001…
…010010011000010100110
3112020100110200110100010100
4322200111022103002212
51011332332232110042
612314544444404530
7563316234425055
oct72402512230246
915210420410110
104020444410022
1113100740694a7
1254b232846746
13232184593881
14dc83a66a39c
156e8aac5d24c
hex3a8152930a6

4020444410022 has 144 divisors (see below), whose sum is σ = 9276841147392. Its totient is φ = 1256960337120.

The previous prime is 4020444409981. The next prime is 4020444410057. The reversal of 4020444410022 is 2200144440204.

4020444410022 is a `hidden beast` number, since 4 + 0 + 204 + 44 + 410 + 0 + 2 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 126944233 + ... + 126975899.

It is an arithmetic number, because the mean of its divisors is an integer number (64422507968).

Almost surely, 24020444410022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4020444410022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4638420573696).

4020444410022 is an abundant number, since it is smaller than the sum of its proper divisors (5256396737370).

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

4020444410022 is a wasteful number, since it uses less digits than its factorization.

4020444410022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31903 (or 31853 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 27.

Adding to 4020444410022 its reverse (2200144440204), we get a palindrome (6220588850226).

The spelling of 4020444410022 in words is "four trillion, twenty billion, four hundred forty-four million, four hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 9 18 31 47 62 93 94 103 141 186 206 279 282 309 423 558 618 846 927 1457 1854 2209 2914 3193 4371 4418 4841 6386 6627 8742 9579 9682 13113 13254 14523 19158 19881 26226 28737 29046 31667 39762 43569 57474 63334 68479 87138 95001 136958 150071 190002 205437 227527 285003 300142 410874 450213 455054 570006 616311 682581 900426 981677 1232622 1350639 1365162 1488349 1963354 2047743 2701278 2945031 2976698 3261701 4095486 4465047 5890062 6523402 7053337 8835093 8930094 9785103 13395141 14106674 17670186 19570206 21160011 26790282 29355309 42320022 46138819 58710618 63480033 69952403 92277638 101112731 126960066 138416457 139904806 153299947 202225462 209857209 276832914 303338193 306599894 415249371 419714418 459899841 606676386 629571627 830498742 910014579 919799682 1259143254 1379699523 1820029158 2168524493 2759399046 4337048986 4752298357 6505573479 7205097509 9504596714 13011146958 14256895071 14410195018 19516720437 21615292527 28513790142 39033440874 42770685213 43230585054 64845877581 85541370426 129691755162 223358022779 446716045558 670074068337 1340148136674 2010222205011 4020444410022