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41004133222230 = 23257137691702553
BaseRepresentation
bin10010101001011000001001…
…10010111000011101010110
312101011221211112201212210100
421110230010302320131112
520333302431101102410
6223113012212034530
711431310434440243
oct1124540462703526
9171157745655710
1041004133222230
1112079834257002
124722a61302a46
1319b5899c5b019
14a1a8798345ca
154b19292718c0
hex254b04cb8756

41004133222230 has 96 divisors (see below), whose sum is σ = 108141054315840. Its totient is φ = 10777562772480.

The previous prime is 41004133222223. The next prime is 41004133222307. The reversal of 41004133222230 is 3222233140014.

41004133222230 is a `hidden beast` number, since 4 + 1 + 0 + 0 + 413 + 3 + 22 + 223 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 41004133222194 and 41004133222203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23232634 + ... + 24935186.

It is an arithmetic number, because the mean of its divisors is an integer number (1126469315790).

Almost surely, 241004133222230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41004133222230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54070527157920).

41004133222230 is an abundant number, since it is smaller than the sum of its proper divisors (67136921093610).

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

41004133222230 is a wasteful number, since it uses less digits than its factorization.

41004133222230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706406 (or 1706403 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 41004133222230 its reverse (3222233140014), we get a palindrome (44226366362244).

The spelling of 41004133222230 in words is "forty-one trillion, four billion, one hundred thirty-three million, two hundred twenty-two thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 3195 3769 6390 7538 11307 18845 22614 33921 37690 56535 67842 113070 169605 267599 339210 535198 802797 1337995 1605594 1702553 2408391 2675990 3405106 4013985 4816782 5107659 8027970 8512765 10215318 12041955 15322977 17025530 24083910 25538295 30645954 51076590 76614885 120881263 153229770 241762526 362643789 604406315 725287578 1087931367 1208812630 1813218945 2175862734 3626437890 5439656835 6416922257 10879313670 12833844514 19250766771 32084611285 38501533542 57752300313 64169222570 96253833855 115504600626 192507667710 288761501565 455601480247 577523003130 911202960494 1366804440741 2278007401235 2733608881482 4100413322223 4556014802470 6834022203705 8200826644446 13668044407410 20502066611115 41004133222230