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1004232200244 = 2237131423646259
BaseRepresentation
bin11101001110100001110…
…01110101000000110100
310120000002200001110210020
432213100321311000310
5112423131420401434
62045200553125140
7132360544601160
oct16472071650064
93500080043706
101004232200244
1135798a995649
121427633b97b0
1373911039b40
1436868561ca0
151b1c80a6849
hexe9d0e75034

1004232200244 has 96 divisors (see below), whose sum is σ = 2885980016640. Its totient is φ = 264665916288.

The previous prime is 1004232200233. The next prime is 1004232200267. The reversal of 1004232200244 is 4420022324001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1230787 + ... + 1877045.

It is an arithmetic number, because the mean of its divisors is an integer number (30062291840).

Almost surely, 21004232200244 is an apocalyptic number.

1004232200244 is a gapful number since it is divisible by the number (14) 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 1004232200244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442990008320).

1004232200244 is an abundant number, since it is smaller than the sum of its proper divisors (1881747816396).

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

1004232200244 is a wasteful number, since it uses less digits than its factorization.

1004232200244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647709 (or 647707 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 1004232200244 its reverse (4420022324001), we get a palindrome (5424254524245).

The spelling of 1004232200244 in words is "one trillion, four billion, two hundred thirty-two million, two hundred thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 1423 2846 4269 5692 8538 9961 17076 18499 19922 29883 36998 39844 55497 59766 73996 110994 119532 129493 221988 258986 388479 517972 646259 776958 1292518 1553916 1938777 2585036 3877554 4523813 7755108 8401367 9047626 13571439 16802734 18095252 25204101 27142878 33605468 50408202 54285756 58809569 100816404 117619138 176428707 235238276 352857414 705714828 919626557 1839253114 2758879671 3678506228 5517759342 6437385899 11035518684 11955145241 12874771798 19312157697 23910290482 25749543596 35865435723 38624315394 47820580964 71730871446 77248630788 83686016687 143461742892 167372033374 251058050061 334744066748 502116100122 1004232200244