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114319716 = 22371399791
BaseRepresentation
bin1101101000001…
…10000101100100
321222010001011120
412310012011210
5213231212331
615202133540
72555462430
oct664060544
9258101146
10114319716
1159592105
12323512b0
131a8b8604
141127b9c0
15a082796
hex6d06164

114319716 has 48 divisors (see below), whose sum is σ = 307077120. Its totient is φ = 32424480.

The previous prime is 114319693. The next prime is 114319753. The reversal of 114319716 is 617913411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6781 + ... + 16571.

It is an arithmetic number, because the mean of its divisors is an integer number (6397440).

Almost surely, 2114319716 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114319716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153538560).

114319716 is an abundant number, since it is smaller than the sum of its proper divisors (192757404).

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

114319716 is a wasteful number, since it uses less digits than its factorization.

114319716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9944 (or 9942 counting only the distinct ones).

The product of its digits is 4536, while the sum is 33.

The square root of 114319716 is about 10692.0398427989. The cubic root of 114319716 is about 485.3336224404. Note that the first 3 decimals are identical.

The spelling of 114319716 in words is "one hundred fourteen million, three hundred nineteen thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 139 278 417 556 834 973 1668 1946 2919 3892 5838 9791 11676 19582 29373 39164 58746 68537 117492 137074 205611 274148 411222 822444 1360949 2721898 4082847 5443796 8165694 9526643 16331388 19053286 28579929 38106572 57159858 114319716