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1024340331114 = 233194332305733
BaseRepresentation
bin11101110011111110111…
…00010000101001101010
310121221000001001100201000
432321333130100221222
5113240322111043424
62102324144135430
7134002052103342
oct16717734205152
93557001040630
101024340331114
11365469459a21
12146635607576
1375796c44129
1437814d53d22
151b9a35813c9
hexee7f710a6a

1024340331114 has 64 divisors (see below), whose sum is σ = 2401652534400. Its totient is φ = 322728696576.

The previous prime is 1024340331109. The next prime is 1024340331121. The reversal of 1024340331114 is 4111330434201.

1024340331114 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 340 + 3 + 311 + 1 + 4 = 666.

It is a super-2 number, since 2×10243403311142 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 708609 + ... + 1597124.

It is an arithmetic number, because the mean of its divisors is an integer number (37525820850).

Almost surely, 21024340331114 is an apocalyptic number.

1024340331114 is an abundant number, since it is smaller than the sum of its proper divisors (1377312203286).

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

1024340331114 is a wasteful number, since it uses less digits than its factorization.

1024340331114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306196 (or 2306190 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 1024340331114 its reverse (4111330434201), we get a palindrome (5135670765315).

The spelling of 1024340331114 in words is "one trillion, twenty-four billion, three hundred forty million, three hundred thirty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 342 433 513 866 1026 1299 2598 3897 7794 8227 11691 16454 23382 24681 49362 74043 148086 222129 444258 2305733 4611466 6917199 13834398 20751597 41503194 43808927 62254791 87617854 124509582 131426781 262853562 394280343 788560686 998382389 1182841029 1996764778 2365682058 2995147167 5990294334 8985441501 17970883002 18969265391 26956324503 37938530782 53912649006 56907796173 113815592346 170723388519 341446777038 512170165557 1024340331114