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1004424240006 = 2331112131394023
BaseRepresentation
bin11101001110111000101…
…10011001101110000110
310120000121001102002211000
432213130112121232012
5112424030101140011
62045232013154130
7132365366112645
oct16473426315606
93500531362730
101004424240006
11357a793309a0
121427b778b946
1373941a67b35
1436885c7135c
151b1d9d8c356
hexe9dc599b86

1004424240006 has 64 divisors (see below), whose sum is σ = 2436976995840. Its totient is φ = 304119839520.

The previous prime is 1004424239981. The next prime is 1004424240011. The reversal of 1004424240006 is 6000424244001.

It is a happy number.

1004424240006 is a `hidden beast` number, since 10 + 0 + 4 + 4 + 242 + 400 + 0 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23511 + ... + 1417533.

It is an arithmetic number, because the mean of its divisors is an integer number (38077765560).

Almost surely, 21004424240006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004424240006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218488497920).

1004424240006 is an abundant number, since it is smaller than the sum of its proper divisors (1432552755834).

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

1004424240006 is a wasteful number, since it uses less digits than its factorization.

1004424240006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1395258 (or 1395252 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1004424240006 its reverse (6000424244001), we get a palindrome (7004848484007).

The spelling of 1004424240006 in words is "one trillion, four billion, four hundred twenty-four million, two hundred forty thousand, six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 1213 2426 3639 7278 10917 13343 21834 26686 32751 40029 65502 80058 120087 240174 360261 720522 1394023 2788046 4182069 8364138 12546207 15334253 25092414 30668506 37638621 46002759 75277242 92005518 138008277 276016554 414024831 828049662 1690949899 3381899798 5072849697 10145699394 15218549091 18600448889 30437098182 37200897778 45655647273 55801346667 91311294546 111602693334 167404040001 334808080002 502212120003 1004424240006