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41388665344 = 291328122129
BaseRepresentation
bin100110100010111101…
…001110101000000000
310221211110002001020021
4212202331032220000
51134230444242334
631002542423224
72663435564545
oct464275165000
9127743061207
1041388665344
1116609905954
128030b91b14
133b97992b30
142008bacbcc
15112388d3b4
hex9a2f4ea00

41388665344 has 80 divisors (see below), whose sum is σ = 89378732520. Its totient is φ = 19033620480.

The previous prime is 41388665323. The next prime is 41388665359. The reversal of 41388665344 is 44356688314.

It can be written as a sum of positive squares in 4 ways, for example, as 39648774400 + 1739890944 = 199120^2 + 41712^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 41388665291 and 41388665300.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1859272 + ... + 1881400.

Almost surely, 241388665344 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 41388665344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44689366260).

41388665344 is an abundant number, since it is smaller than the sum of its proper divisors (47990067176).

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

41388665344 is a wasteful number, since it uses less digits than its factorization.

41388665344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22441 (or 22425 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 52.

The spelling of 41388665344 in words is "forty-one billion, three hundred eighty-eight million, six hundred sixty-five thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 281 416 512 562 832 1124 1664 2248 3328 3653 4496 6656 7306 8992 14612 17984 22129 29224 35968 44258 58448 71936 88516 116896 143872 177032 233792 287677 354064 467584 575354 708128 935168 1150708 1416256 1870336 2301416 2832512 4602832 5665024 6218249 9205664 11330048 12436498 18411328 24872996 36822656 49745992 73645312 80837237 99491984 147290624 161674474 198983968 323348948 397967936 646697896 795935872 1293395792 1591871744 2586791584 3183743488 5173583168 10347166336 20694332672 41388665344