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4014012375 = 335317431627
BaseRepresentation
bin1110111101000000…
…1111011111010111
3101100202001221211000
43233100033133113
531210041344000
61502150114343
7201320353662
oct35720173727
911322057730
104014012375
11177a8949aa
1294034b9b3
134bc7b9669
142a11606d9
151875e2000
hexef40f7d7

4014012375 has 128 divisors (see below), whose sum is σ = 8045706240. Its totient is φ = 1966809600.

The previous prime is 4014012361. The next prime is 4014012389. The reversal of 4014012375 is 5732104104.

It is an interprime number because it is at equal distance from previous prime (4014012361) and next prime (4014012389).

It is not a de Polignac number, because 4014012375 - 26 = 4014012311 is a prime.

It is a super-3 number, since 3×40140123753 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2466312 + ... + 2467938.

It is an arithmetic number, because the mean of its divisors is an integer number (62857080).

Almost surely, 24014012375 is an apocalyptic number.

4014012375 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4014012375 is an abundant number, since it is smaller than the sum of its proper divisors (4031693865).

4014012375 is a wasteful number, since it uses less digits than its factorization.

4014012375 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1711 (or 1695 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 4014012375 is about 63356.2339079589. The cubic root of 4014012375 is about 1589.2524966215.

Adding to 4014012375 its reverse (5732104104), we get a palindrome (9746116479).

The spelling of 4014012375 in words is "four billion, fourteen million, twelve thousand, three hundred seventy-five".

Divisors: 1 3 5 9 15 17 25 27 43 45 51 75 85 125 129 135 153 215 225 255 375 387 425 459 645 675 731 765 1075 1125 1161 1275 1627 1935 2125 2193 2295 3225 3375 3655 3825 4881 5375 5805 6375 6579 8135 9675 10965 11475 14643 16125 18275 19125 19737 24405 27659 29025 32895 40675 43929 48375 54825 57375 69961 73215 82977 91375 98685 122025 138295 145125 164475 203375 209883 219645 248931 274125 349805 366075 414885 493425 610125 629649 691475 746793 822375 1049415 1098225 1189337 1244655 1749025 1830375 1888947 2074425 2467125 3148245 3457375 3568011 3733965 5247075 5491125 5946685 6223275 8745125 9444735 10372125 10704033 15741225 17840055 18669825 26235375 29733425 31116375 32112099 47223675 53520165 78706125 89200275 93349125 148667125 160560495 236118375 267600825 446001375 802802475 1338004125 4014012375