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4014140424 = 233741582773
BaseRepresentation
bin1110111101000010…
…1110110000001000
3101100202022110110120
43233100232300020
531210104443144
61502152543240
7201321426210
oct35720566010
911322273416
104014140424
11177a972128
129403b1b20
134bc832a28
142a1195240
15187619e19
hexef42ec08

4014140424 has 64 divisors (see below), whose sum is σ = 11748723840. Its totient is φ = 1118922240.

The previous prime is 4014140387. The next prime is 4014140467. The reversal of 4014140424 is 4240414104.

It is a happy number.

It is a super-2 number, since 2×40141404242 = 32226646687181799552, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 4014140394 and 4014140403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284499 + ... + 298274.

It is an arithmetic number, because the mean of its divisors is an integer number (183573810).

Almost surely, 24014140424 is an apocalyptic number.

It is an amenable number.

4014140424 is an abundant number, since it is smaller than the sum of its proper divisors (7734583416).

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

4014140424 is a wasteful number, since it uses less digits than its factorization.

4014140424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582830 (or 582826 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4014140424 is about 63357.2444476557. The cubic root of 4014140424 is about 1589.2693957580.

Adding to 4014140424 its reverse (4240414104), we get a palindrome (8254554528).

The spelling of 4014140424 in words is "four billion, fourteen million, one hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 246 287 328 492 574 861 984 1148 1722 2296 3444 6888 582773 1165546 1748319 2331092 3496638 4079411 4662184 6993276 8158822 12238233 13986552 16317644 23893693 24476466 32635288 47787386 48952932 71681079 95574772 97905864 143362158 167255851 191149544 286724316 334511702 501767553 573448632 669023404 1003535106 1338046808 2007070212 4014140424