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412211134104 = 233711534208641
BaseRepresentation
bin1011111111110011011…
…00101011111010011000
31110101222200222020212220
411333321230223322120
523223202022242404
6513211151104040
741531655554040
oct5777154537230
91411880866786
10412211134104
111498aa491170
1267a80812020
132cb43457c93
1415d45c60720
15aac89724d9
hex5ff9b2be98

412211134104 has 128 divisors (see below), whose sum is σ = 1309056007680. Its totient is φ = 105047654400.

The previous prime is 412211134079. The next prime is 412211134109. The reversal of 412211134104 is 401431112214.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412211134109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2006377 + ... + 2202264.

It is an arithmetic number, because the mean of its divisors is an integer number (10227000060).

Almost surely, 2412211134104 is an apocalyptic number.

412211134104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

412211134104 is an abundant number, since it is smaller than the sum of its proper divisors (896844873576).

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

412211134104 is a wasteful number, since it uses less digits than its factorization.

412211134104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4208721 (or 4208717 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 412211134104 its reverse (401431112214), we get a palindrome (813642246318).

The spelling of 412211134104 in words is "four hundred twelve billion, two hundred eleven million, one hundred thirty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 53 56 66 77 84 88 106 132 154 159 168 212 231 264 308 318 371 424 462 583 616 636 742 924 1113 1166 1272 1484 1749 1848 2226 2332 2968 3498 4081 4452 4664 6996 8162 8904 12243 13992 16324 24486 32648 48972 97944 4208641 8417282 12625923 16834564 25251846 29460487 33669128 46295051 50503692 58920974 88381461 92590102 101007384 117841948 138885153 176762922 185180204 223057973 235683896 277770306 324065357 353525844 370360408 446115946 555540612 648130714 669173919 707051688 892231892 972196071 1111081224 1296261428 1338347838 1561405811 1784463784 1944392142 2453637703 2592522856 2676695676 3122811622 3888784284 4684217433 4907275406 5353391352 6245623244 7360913109 7777568568 9368434866 9814550812 12491246488 14721826218 17175463921 18736869732 19629101624 29443652436 34350927842 37473739464 51526391763 58887304872 68701855684 103052783526 137403711368 206105567052 412211134104