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40882123359 = 33711125915619
BaseRepresentation
bin100110000100110000…
…111011001001011111
310220112010221001021000
4212010300323021133
51132211310421414
630440405441343
72645045213010
oct460460731137
9126463831230
1040882123359
1116379990410
127b0b410253
133b16a5a14c
141d9b7d3007
1510e4181b09
hex984c3b25f

40882123359 has 64 divisors (see below), whose sum is σ = 75575808000. Its totient is φ = 21219239520.

The previous prime is 40882123343. The next prime is 40882123367. The reversal of 40882123359 is 95332128804.

40882123359 is a `hidden beast` number, since 4 + 0 + 88 + 212 + 3 + 359 = 666.

40882123359 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 40882123359 - 24 = 40882123343 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40882123309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2609652 + ... + 2625270.

It is an arithmetic number, because the mean of its divisors is an integer number (1180872000).

Almost surely, 240882123359 is an apocalyptic number.

40882123359 is a deficient number, since it is larger than the sum of its proper divisors (34693684641).

40882123359 is a wasteful number, since it uses less digits than its factorization.

40882123359 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16905 (or 16899 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

Subtracting 40882123359 from its reverse (95332128804), we obtain a palindrome (54450005445).

The spelling of 40882123359 in words is "forty billion, eight hundred eighty-two million, one hundred twenty-three thousand, three hundred fifty-nine".

Divisors: 1 3 7 9 11 21 27 33 63 77 99 189 231 297 693 1259 2079 3777 8813 11331 13849 15619 26439 33993 41547 46857 79317 96943 109333 124641 140571 171809 237951 290829 327999 373923 421713 515427 872487 983997 1202663 1546281 2617461 2951991 3607989 4638843 10823967 19664321 32471901 58992963 137650247 176978889 216307531 412950741 530936667 648922593 1238852223 1514152717 1946767779 3716556669 4542458151 5840303337 13627374453 40882123359