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10412241444 = 22331147186479
BaseRepresentation
bin10011011001001111…
…00011001000100100
3222212122110200002000
421230213203020210
5132311013211234
64441110245300
7516011410023
oct115447431044
928778420060
1010412241444
114463491120
122027056830
13c9c226917
1470abd28ba
1540e18d899
hex26c9e3224

10412241444 has 96 divisors (see below), whose sum is σ = 30075494400. Its totient is φ = 3088075680.

The previous prime is 10412241439. The next prime is 10412241479. The reversal of 10412241444 is 44414221401.

It is a happy number.

10412241444 is a `hidden beast` number, since 1 + 0 + 412 + 241 + 4 + 4 + 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, 37404 + ... + 149075.

It is an arithmetic number, because the mean of its divisors is an integer number (313286400).

Almost surely, 210412241444 is an apocalyptic number.

It is an amenable number.

10412241444 is an abundant number, since it is smaller than the sum of its proper divisors (19663252956).

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

10412241444 is a wasteful number, since it uses less digits than its factorization.

10412241444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186550 (or 186542 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 10412241444 its reverse (44414221401), we get a palindrome (54826462845).

The spelling of 10412241444 in words is "ten billion, four hundred twelve million, two hundred forty-one thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 47 54 66 94 99 108 132 141 188 198 282 297 396 423 517 564 594 846 1034 1188 1269 1551 1692 2068 2538 3102 4653 5076 6204 9306 13959 18612 27918 55836 186479 372958 559437 745916 1118874 1678311 2051269 2237748 3356622 4102538 5034933 6153807 6713244 8205076 8764513 10069866 12307614 17529026 18461421 20139732 24615228 26293539 35058052 36922842 52587078 55384263 73845684 78880617 96409643 105174156 110768526 157761234 192819286 221537052 236641851 289228929 315522468 385638572 473283702 578457858 867686787 946567404 1156915716 1735373574 2603060361 3470747148 5206120722 10412241444