Search a number
-
+
4018911840 = 253254168071
BaseRepresentation
bin1110111110001011…
…1011101001100000
3101101002021212121200
43233202323221200
531212320134330
61502443121200
7201410121066
oct35742735140
911332255550
104018911840
111782630a49
12941b13200
134c0813758
142a1a78036
15187c5da60
hexef8bba60

4018911840 has 144 divisors (see below), whose sum is σ = 14049243936. Its totient is φ = 1045555200.

The previous prime is 4018911833. The next prime is 4018912003. The reversal of 4018911840 is 481198104.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4018911795 and 4018911804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25005 + ... + 93075.

It is an arithmetic number, because the mean of its divisors is an integer number (97564194).

Almost surely, 24018911840 is an apocalyptic number.

4018911840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4018911840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7024621968).

4018911840 is an abundant number, since it is smaller than the sum of its proper divisors (10030332096).

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

4018911840 is a wasteful number, since it uses less digits than its factorization.

4018911840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68133 (or 68122 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 4018911840 is about 63394.8881219929. Note that the first 3 decimals coincide. The cubic root of 4018911840 is about 1589.8988425023.

The spelling of 4018911840 in words is "four billion, eighteen million, nine hundred eleven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 41 45 48 60 72 80 82 90 96 120 123 144 160 164 180 205 240 246 288 328 360 369 410 480 492 615 656 720 738 820 984 1230 1312 1440 1476 1640 1845 1968 2460 2952 3280 3690 3936 4920 5904 6560 7380 9840 11808 14760 19680 29520 59040 68071 136142 204213 272284 340355 408426 544568 612639 680710 816852 1021065 1089136 1225278 1361420 1633704 2042130 2178272 2450556 2722840 2790911 3063195 3267408 4084260 4901112 5445680 5581822 6126390 6534816 8168520 8372733 9802224 10891360 11163644 12252780 13954555 16337040 16745466 19604448 22327288 24505560 25118199 27909110 32674080 33490932 41863665 44654576 49011120 50236398 55818220 66981864 83727330 89309152 98022240 100472796 111636440 125590995 133963728 167454660 200945592 223272880 251181990 267927456 334909320 401891184 446545760 502363980 669818640 803782368 1004727960 1339637280 2009455920 4018911840