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2119914342 = 234721320543
BaseRepresentation
bin111111001011011…
…0101001101100110
312110201222210210000
41332112311031212
513320144224332
6550205042130
7103350655200
oct17626651546
95421883700
102119914342
11998700027
124b1b56346
1327a2712b0
14161791770
15c619cb7c
hex7e5b5366

2119914342 has 120 divisors (see below), whose sum is σ = 5951062656. Its totient is φ = 559071072.

The previous prime is 2119914317. The next prime is 2119914373. The reversal of 2119914342 is 2434199112.

2119914342 is a `hidden beast` number, since 211 + 9 + 9 + 1 + 434 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2119914297 and 2119914306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 92923 + ... + 113465.

Almost surely, 22119914342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2119914342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975531328).

2119914342 is an abundant number, since it is smaller than the sum of its proper divisors (3831148314).

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

2119914342 is a wasteful number, since it uses less digits than its factorization.

2119914342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20584 (or 20568 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 2119914342 is about 46042.5275370499. The cubic root of 2119914342 is about 1284.6143557533.

The spelling of 2119914342 in words is "two billion, one hundred nineteen million, nine hundred fourteen thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 49 54 63 78 81 91 98 117 126 147 162 182 189 234 273 294 351 378 441 546 567 637 702 819 882 1053 1134 1274 1323 1638 1911 2106 2457 2646 3822 3969 4914 5733 7371 7938 11466 14742 17199 20543 34398 41086 51597 61629 103194 123258 143801 184887 267059 287602 369774 431403 534118 554661 801177 862806 1006607 1109322 1294209 1602354 1663983 1869413 2013214 2403531 2588418 3019821 3327966 3738826 3882627 4807062 5608239 6039642 7210593 7765254 9059463 11216478 11647881 13085891 14421186 16824717 18118926 21631779 23295762 26171782 27178389 33649434 39257673 43263558 50474151 54356778 78515346 81535167 100948302 117773019 151422453 163070334 235546038 302844906 353319057 706638114 1059957171 2119914342