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104440667110704 = 2434121436636493
BaseRepresentation
bin10111101111110011111100…
…110111001111110100110000
3111200210102121122220212120000
4113233303330313033310300
5102142123441240020304
61010043214034150000
730666406043610351
oct2757637467176460
9450712548825500
10104440667110704
1130307046904341
12b869374122300
1346379358c7512
141bb0d53337d28
15c11b1c4d2939
hex5efcfcdcfd30

104440667110704 has 100 divisors (see below), whose sum is σ = 302306530343136. Its totient is φ = 34810683493248.

The previous prime is 104440667110699. The next prime is 104440667110729. The reversal of 104440667110704 is 407011766044401.

104440667110704 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 406 + 67 + 110 + 70 + 4 = 666.

It is a super-2 number, since 2×1044406671107042 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104440667110704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12419082 + ... + 19055574.

Almost surely, 2104440667110704 is an apocalyptic number.

It is an amenable number.

104440667110704 is an abundant number, since it is smaller than the sum of its proper divisors (197865863232432).

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

104440667110704 is a wasteful number, since it uses less digits than its factorization.

104440667110704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6648656 (or 6648641 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 104440667110704 in words is "one hundred four trillion, four hundred forty billion, six hundred sixty-seven million, one hundred ten thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 12143 24286 36429 48572 72858 97144 109287 145716 194288 218574 291432 327861 437148 582864 655722 874296 983583 1311444 1748592 1967166 2622888 3934332 5245776 6636493 7868664 13272986 15737328 19909479 26545972 39818958 53091944 59728437 79637916 106183888 119456874 159275832 179185311 238913748 318551664 358370622 477827496 537555933 716741244 955654992 1075111866 1433482488 2150223732 2866964976 4300447464 8600894928 80586934499 161173868998 241760803497 322347737996 483521606994 644695475992 725282410491 967043213988 1289390951984 1450564820982 1934086427976 2175847231473 2901129641964 3868172855952 4351694462946 5802259283928 6527541694419 8703388925892 11604518567856 13055083388838 17406777851784 26110166777676 34813555703568 52220333555352 104440667110704