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2114113716 = 22331113136889
BaseRepresentation
bin111111000000010…
…1101000010110100
312110100002002211000
41332000231002310
513312203114331
6545440443300
7103250445561
oct17600550264
95410062730
102114113716
119953a8a20
124b0019530
13278cbcc80
14160ac1868
15c59040e6
hex7e02d0b4

2114113716 has 96 divisors (see below), whose sum is σ = 6439305600. Its totient is φ = 591356160.

The previous prime is 2114113697. The next prime is 2114113759. The reversal of 2114113716 is 6173114112.

2114113716 is a `hidden beast` number, since 211 + 411 + 37 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2114113716.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53001 + ... + 83888.

It is an arithmetic number, because the mean of its divisors is an integer number (67076100).

Almost surely, 22114113716 is an apocalyptic number.

2114113716 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2114113716 is an abundant number, since it is smaller than the sum of its proper divisors (4325191884).

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

2114113716 is a wasteful number, since it uses less digits than its factorization.

2114113716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136926 (or 136918 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 2114113716 is about 45979.4923416951. The cubic root of 2114113716 is about 1283.4416080157.

Adding to 2114113716 its reverse (6173114112), we get a palindrome (8287227828).

The spelling of 2114113716 in words is "two billion, one hundred fourteen million, one hundred thirteen thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3861 5148 7722 15444 136889 273778 410667 547556 821334 1232001 1505779 1642668 1779557 2464002 3011558 3559114 3696003 4517337 4928004 5338671 6023116 7118228 7392006 9034674 10677342 13552011 14784012 16016013 18069348 19575127 21354684 27104022 32032026 39150254 40656033 48048039 54208044 58725381 64064052 78300508 81312066 96096078 117450762 162624132 176176143 192192156 234901524 352352286 528528429 704704572 1057056858 2114113716