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4014052152 = 2331137607677
BaseRepresentation
bin1110111101000001…
…1001001100111000
3101100202010222101020
43233100121030320
531210044132102
61502151022440
7201320610645
oct35720311470
911322128336
104014052152
11177a911880
1294036aa20
134bc8017b6
142a1170dcc
151875edbbc
hexef419338

4014052152 has 128 divisors (see below), whose sum is σ = 11278448640. Its totient is φ = 1179809280.

The previous prime is 4014052129. The next prime is 4014052153. The reversal of 4014052152 is 2512504104.

4014052152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40140521522 = 32225229357951662208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4014052153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5928838 + ... + 5929514.

It is an arithmetic number, because the mean of its divisors is an integer number (88112880).

Almost surely, 24014052152 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 4014052152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5639224320).

4014052152 is an abundant number, since it is smaller than the sum of its proper divisors (7264396488).

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

4014052152 is a wasteful number, since it uses less digits than its factorization.

4014052152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 4014052152 is about 63356.5478226205. The cubic root of 4014052152 is about 1589.2577461891.

Adding to 4014052152 its reverse (2512504104), we get a palindrome (6526556256).

The spelling of 4014052152 in words is "four billion, fourteen million, fifty-two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 607 677 814 888 1214 1221 1354 1628 1821 2031 2428 2442 2708 3256 3642 4062 4856 4884 5416 6677 7284 7447 8124 9768 13354 14568 14894 16248 20031 22341 22459 25049 26708 29788 40062 44682 44918 50098 53416 59576 67377 75147 80124 89364 89836 100196 134754 150294 160248 178728 179672 200392 247049 269508 275539 300588 410939 494098 539016 551078 601176 741147 821878 826617 988196 1102156 1232817 1482294 1643756 1653234 1976392 2204312 2465634 2964588 3287512 3306468 4520329 4931268 5929176 6612936 9040658 9862536 13560987 15204743 18081316 27121974 30409486 36162632 45614229 54243948 60818972 91228458 108487896 121637944 167252173 182456916 334504346 364913832 501756519 669008692 1003513038 1338017384 2007026076 4014052152