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4100044104 = 23321322231511
BaseRepresentation
bin1111010001100001…
…1011010101001000
3101120201221211011100
43310120123111020
531344102402404
61514502101400
7203413541232
oct36430332510
911521854140
104100044104
111814405902
1296511a860
1350457c300
142ac757252
1518ee37d39
hexf461b548

4100044104 has 144 divisors (see below), whose sum is σ = 12086081280. Its totient is φ = 1255063680.

The previous prime is 4100044063. The next prime is 4100044129. The reversal of 4100044104 is 4014400014.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2712709 + ... + 2714219.

It is an arithmetic number, because the mean of its divisors is an integer number (83931120).

Almost surely, 24100044104 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 4100044104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043040640).

4100044104 is an abundant number, since it is smaller than the sum of its proper divisors (7986037176).

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

4100044104 is a wasteful number, since it uses less digits than its factorization.

4100044104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 1752 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4100044104 is about 64031.5867677820. The cubic root of 4100044104 is about 1600.5264028352.

Adding to 4100044104 its reverse (4014400014), we get a palindrome (8114444118).

The spelling of 4100044104 in words is "four billion, one hundred million, forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 223 234 312 338 446 468 507 669 676 892 936 1014 1338 1352 1511 1521 1784 2007 2028 2676 2899 3022 3042 4014 4056 4533 5352 5798 6044 6084 8028 8697 9066 11596 12088 12168 13599 16056 17394 18132 19643 23192 26091 27198 34788 36264 37687 39286 52182 54396 58929 69576 75374 78572 104364 108792 113061 117858 150748 157144 176787 208728 226122 235716 255359 301496 336953 339183 353574 452244 471432 510718 673906 678366 707148 766077 904488 1010859 1021436 1347812 1356732 1414296 1532154 2021718 2042872 2298231 2695624 2713464 3032577 3064308 4043436 4380389 4596462 6065154 6128616 8086872 8760778 9192924 12130308 13141167 17521556 18385848 24260616 26282334 35043112 39423501 52564668 56945057 78847002 105129336 113890114 157694004 170835171 227780228 315388008 341670342 455560456 512505513 683340684 1025011026 1366681368 2050022052 4100044104