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4041121240 = 2351322632273
BaseRepresentation
bin1111000011011110…
…1001110111011000
3101102122002020012001
43300313221313120
531234011334430
61504555130344
7202066651402
oct36067516730
911378066161
104041121240
111794120222
129494439b4
134c52bb700
142a49b9b72
15189b993ca
hexf0de9dd8

4041121240 has 96 divisors (see below), whose sum is σ = 9887533920. Its totient is φ = 1485778944.

The previous prime is 4041121193. The next prime is 4041121291. The reversal of 4041121240 is 421211404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1776744 + ... + 1779016.

It is an arithmetic number, because the mean of its divisors is an integer number (102995145).

Almost surely, 24041121240 is an apocalyptic number.

4041121240 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 4041121240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4943766960).

4041121240 is an abundant number, since it is smaller than the sum of its proper divisors (5846412680).

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

4041121240 is a wasteful number, since it uses less digits than its factorization.

4041121240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2573 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 4041121240 is about 63569.8139056581. The cubic root of 4041121240 is about 1592.8221755499.

Adding to 4041121240 its reverse (421211404), we get a palindrome (4462332644).

The spelling of 4041121240 in words is "four billion, forty-one million, one hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 263 338 520 526 676 845 1052 1315 1352 1690 2104 2273 2630 3380 3419 4546 5260 6760 6838 9092 10520 11365 13676 17095 18184 22730 27352 29549 34190 44447 45460 59098 68380 88894 90920 118196 136760 147745 177788 222235 236392 295490 355576 384137 444470 590980 597799 768274 888940 1181960 1195598 1536548 1777880 1920685 2391196 2988995 3073096 3841370 4782392 5977990 7682740 7771387 11955980 15365480 15542774 23911960 31085548 38856935 62171096 77713870 101028031 155427740 202056062 310855480 404112124 505140155 808224248 1010280310 2020560620 4041121240