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2111405040 = 243253194597
BaseRepresentation
bin111110111011001…
…0111101111110000
312110010222111012200
41331312113233300
513311004430130
6545302423200
7103215434553
oct17566275760
95403874180
102111405040
11993918948
124ab131b00
132785820c4
141605b869a
15c556b760
hex7dd97bf0

2111405040 has 120 divisors (see below), whose sum is σ = 7319614848. Its totient is φ = 544872960.

The previous prime is 2111405033. The next prime is 2111405041. The reversal of 2111405040 is 405041112.

2111405040 is a `hidden beast` number, since 21 + 1 + 140 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111405041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24979 + ... + 69618.

Almost surely, 22111405040 is an apocalyptic number.

2111405040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111405040 is an abundant number, since it is smaller than the sum of its proper divisors (5208209808).

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

2111405040 is a wasteful number, since it uses less digits than its factorization.

2111405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94647 (or 94638 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 2111405040 is about 45950.0276387294. The cubic root of 2111405040 is about 1282.8932437502.

Adding to 2111405040 its reverse (405041112), we get a palindrome (2516446152).

The spelling of 2111405040 in words is "two billion, one hundred eleven million, four hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320 94597 189194 283791 378388 472985 567582 756776 851373 945970 1135164 1418955 1513552 1702746 1891940 2270328 2837910 2932507 3405492 3783880 4256865 4540656 5675820 5865014 6810984 7567760 8513730 8797521 11351640 11730028 13621968 14662535 17027460 17595042 22703280 23460056 26392563 29325070 34054920 35190084 43987605 46920112 52785126 58650140 68109840 70380168 87975210 105570252 117300280 131962815 140760336 175950420 211140504 234600560 263925630 351900840 422281008 527851260 703801680 1055702520 2111405040