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4013110640 = 2457111973307
BaseRepresentation
bin1110111100110011…
…0011010101110000
3101100200101010212102
43233030303111300
531204324020030
61502114515532
7201306610010
oct35714632560
911320333772
104013110640
11177a329470
1293bb95ba8
134bc5620a6
142a0da7c40
151874b4c45
hexef333570

4013110640 has 160 divisors (see below), whose sum is σ = 11695394304. Its totient is φ = 1244113920.

The previous prime is 4013110597. The next prime is 4013110643. The reversal of 4013110640 is 460113104.

It is a super-2 number, since 2×40131106402 = 32210114017762419200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013110643) 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, 1211867 + ... + 1215173.

Almost surely, 24013110640 is an apocalyptic number.

4013110640 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 4013110640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847697152).

4013110640 is an abundant number, since it is smaller than the sum of its proper divisors (7682283664).

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

4013110640 is a wasteful number, since it uses less digits than its factorization.

4013110640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3535 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 4013110640 is about 63349.1171209197. The cubic root of 4013110640 is about 1589.1334808843.

Adding to 4013110640 its reverse (460113104), we get a palindrome (4473223744).

The spelling of 4013110640 in words is "four billion, thirteen million, one hundred ten thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 197 220 280 308 385 394 440 560 616 770 788 880 985 1232 1379 1540 1576 1970 2167 2758 3080 3152 3307 3940 4334 5516 6160 6614 6895 7880 8668 10835 11032 13228 13790 15169 15760 16535 17336 21670 22064 23149 26456 27580 30338 33070 34672 36377 43340 46298 52912 55160 60676 66140 72754 75845 86680 92596 110320 115745 121352 132280 145508 151690 173360 181885 185192 231490 242704 254639 264560 291016 303380 363770 370384 462980 509278 582032 606760 651479 727540 925960 1018556 1213520 1273195 1302958 1455080 1851920 2037112 2546390 2605916 2910160 3257395 4074224 4560353 5092780 5211832 6514790 7166269 9120706 10185560 10423664 13029580 14332538 18241412 20371120 22801765 26059160 28665076 35831345 36482824 45603530 50163883 52118320 57330152 71662690 72965648 91207060 100327766 114660304 143325380 182414120 200655532 250819415 286650760 364828240 401311064 501638830 573301520 802622128 1003277660 2006555320 4013110640