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114131430 = 2345720129
BaseRepresentation
bin1101100110110…
…00000111100110
321221202110220000
412303120013212
5213204201210
615154122130
72554046460
oct663300746
9257673800
10114131430
11594736a6
1232280346
131a8509ba
141122d130
15a046ac0
hex6cd81e6

114131430 has 80 divisors (see below), whose sum is σ = 350745120. Its totient is φ = 26085888.

The previous prime is 114131401. The next prime is 114131441. The reversal of 114131430 is 34131411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4395 + ... + 15734.

It is an arithmetic number, because the mean of its divisors is an integer number (4384314).

Almost surely, 2114131430 is an apocalyptic number.

114131430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114131430 is an abundant number, since it is smaller than the sum of its proper divisors (236613690).

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

114131430 is a wasteful number, since it uses less digits than its factorization.

114131430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20155 (or 20146 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 114131430 is about 10683.2312527624. The cubic root of 114131430 is about 485.0670258450.

Adding to 114131430 its reverse (34131411), we get a palindrome (148262841).

The spelling of 114131430 in words is "one hundred fourteen million, one hundred thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 5670 20129 40258 60387 100645 120774 140903 181161 201290 281806 301935 362322 422709 543483 603870 704515 845418 905805 1086966 1268127 1409030 1630449 1811610 2113545 2536254 2717415 3260898 3804381 4227090 5434830 6340635 7608762 8152245 11413143 12681270 16304490 19021905 22826286 38043810 57065715 114131430