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244310144004 = 223314931148817
BaseRepresentation
bin1110001110001000000…
…1001111010000000100
3212100121101122020001000
43203202001033100010
513000321344102004
6304122354133300
723436142650213
oct3434201172004
9770541566030
10244310144004
119467a786223
123b422b81230
131a0663331b4
14bb78c9707a
15654d545c39
hex38e204f404

244310144004 has 96 divisors (see below), whose sum is σ = 639711072000. Its totient is φ = 80628410880.

The previous prime is 244310143993. The next prime is 244310144011. The reversal of 244310144004 is 400441013442.

244310144004 is a `hidden beast` number, since 244 + 3 + 1 + 0 + 14 + 400 + 4 = 666.

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

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, 4980204 + ... + 5029020.

It is an arithmetic number, because the mean of its divisors is an integer number (6663657000).

Almost surely, 2244310144004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 244310144004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319855536000).

244310144004 is an abundant number, since it is smaller than the sum of its proper divisors (395400927996).

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

244310144004 is a wasteful number, since it uses less digits than its factorization.

244310144004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49290 (or 49282 counting only the distinct ones).

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

Adding to 244310144004 its reverse (400441013442), we get a palindrome (644751157446).

The spelling of 244310144004 in words is "two hundred forty-four billion, three hundred ten million, one hundred forty-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 298 311 447 596 622 894 933 1244 1341 1788 1866 2682 2799 3732 4023 5364 5598 8046 8397 11196 16092 16794 33588 46339 48817 92678 97634 139017 146451 185356 195268 278034 292902 417051 439353 556068 585804 834102 878706 1251153 1318059 1668204 1757412 2502306 2636118 5004612 5272236 7273733 14547466 15182087 21821199 29094932 30364174 43642398 45546261 60728348 65463597 87284796 91092522 130927194 136638783 182185044 196390791 261854388 273277566 392781582 409916349 546555132 785563164 819832698 1639665396 2262130963 4524261926 6786392889 9048523852 13572785778 20359178667 27145571556 40718357334 61077536001 81436714668 122155072002 244310144004