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116442244611 = 327211431015527
BaseRepresentation
bin110110001110001111…
…1111010011000000011
3102010120001121220121100
41230130133322120003
53401433203311421
6125254241225443
711261355514500
oct1543437723003
9363501556540
10116442244611
114542367a910
121a698332283
13ac990a8674
1458c8a324a7
15306798ac26
hex1b1c7fa603

116442244611 has 144 divisors (see below), whose sum is σ = 220607532288. Its totient is φ = 58487184000.

The previous prime is 116442244571. The next prime is 116442244621.

116442244611 is a `hidden beast` number, since 1 + 1 + 644 + 2 + 2 + 4 + 4 + 6 + 1 + 1 = 666.

116442244611 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 116442244611 - 29 = 116442244099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (116442244621) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21065130 + ... + 21070656.

It is an arithmetic number, because the mean of its divisors is an integer number (1531996752).

Almost surely, 2116442244611 is an apocalyptic number.

116442244611 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

116442244611 is a deficient number, since it is larger than the sum of its proper divisors (104165287677).

116442244611 is a wasteful number, since it uses less digits than its factorization.

116442244611 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5702 (or 5692 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 116442244611 in words is "one hundred sixteen billion, four hundred forty-two million, two hundred forty-four thousand, six hundred eleven".

Divisors: 1 3 7 9 11 21 33 43 49 63 77 99 101 129 147 231 301 303 387 441 473 539 693 707 903 909 1111 1419 1617 2107 2121 2709 3311 3333 4257 4343 4851 4949 5527 6321 6363 7777 9933 9999 13029 14847 16581 18963 23177 23331 29799 30401 38689 39087 44541 47773 49743 54439 60797 69531 69993 91203 116067 143319 163317 182391 208593 212807 237661 270823 273609 334411 348201 425579 429957 489951 547173 558227 638421 712983 812469 1003233 1276737 1663627 1674681 1915263 2138949 2340877 2437407 2614271 2979053 3009699 3830211 3907589 4990881 5024043 6140497 7022631 7842813 8937159 11645389 11722767 14972643 18299897 18421491 21067893 23528439 24003761 26811477 27353123 34936167 35168301 42983479 54899691 55264473 72011283 82059369 104808501 128099279 128950437 164699073 168026327 216033849 246178107 264041371 300884353 384297837 386851311 504078981 792124113 902653059 1152893511 1176184289 1512236943 1848289597 2376372339 2707959177 3528552867 5544868791 10585658601 12938027179 16634606373 38814081537 116442244611