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114140040 = 23357177993
BaseRepresentation
bin1101100110110…
…10001110001000
321221202220200220
412303122032020
5213204440130
615154230040
72554113540
oct663321610
9257686626
10114140040
115947a113
1232285320
131a8548b1
1411232320
15a049410
hex6cda388

114140040 has 128 divisors (see below), whose sum is σ = 414408960. Its totient is φ = 24551424.

The previous prime is 114140029. The next prime is 114140119. The reversal of 114140040 is 40041411.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10284 + ... + 18276.

It is an arithmetic number, because the mean of its divisors is an integer number (3237570).

Almost surely, 2114140040 is an apocalyptic number.

114140040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114140040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207204480).

114140040 is an abundant number, since it is smaller than the sum of its proper divisors (300268920).

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

114140040 is a wasteful number, since it uses less digits than its factorization.

114140040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8031 (or 8027 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 114140040 is about 10683.6342131318. The cubic root of 114140040 is about 485.0792232507.

Adding to 114140040 its reverse (40041411), we get a palindrome (154181451).

The spelling of 114140040 in words is "one hundred fourteen million, one hundred forty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 7993 14280 15986 23979 31972 39965 47958 55951 63944 79930 95916 111902 119895 135881 159860 167853 191832 223804 239790 271762 279755 319720 335706 407643 447608 479580 543524 559510 671412 679405 815286 839265 951167 959160 1087048 1119020 1342824 1358810 1630572 1678530 1902334 2038215 2238040 2717620 2853501 3261144 3357060 3804668 4076430 4755835 5435240 5707002 6714120 7609336 8152860 9511670 11414004 14267505 16305720 19023340 22828008 28535010 38046680 57070020 114140040