Search a number
-
+
4291376811240 = 2335317431552619
BaseRepresentation
bin111110011100101001111…
…111011000110011101000
3120012020210102120100111210
4332130221333120303220
51030302214430424430
613043233054153120
7622020214016451
oct76345177306350
916166712510453
104291376811240
111404a65374592
125938454b27a0
132518a125998c
1410b9bd116128
15769665c02b0
hex3e729fd8ce8

4291376811240 has 128 divisors (see below), whose sum is σ = 13307319705600. Its totient is φ = 1105960853760.

The previous prime is 4291376811233. The next prime is 4291376811251. The reversal of 4291376811240 is 421186731924.

It is a self number, because there is not a number n which added to its sum of digits gives 4291376811240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1987651 + ... + 3540269.

It is an arithmetic number, because the mean of its divisors is an integer number (103963435200).

Almost surely, 24291376811240 is an apocalyptic number.

4291376811240 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 4291376811240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653659852800).

4291376811240 is an abundant number, since it is smaller than the sum of its proper divisors (9015942894360).

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

4291376811240 is a wasteful number, since it uses less digits than its factorization.

4291376811240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1553407 (or 1553403 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 4291376811240 in words is "four trillion, two hundred ninety-one billion, three hundred seventy-six million, eight hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 743 744 930 1240 1486 1860 2229 2972 3715 3720 4458 5944 7430 8916 11145 14860 17832 22290 23033 29720 44580 46066 69099 89160 92132 115165 138198 184264 230330 276396 345495 460660 552792 690990 921320 1381980 1552619 2763960 3105238 4657857 6210476 7763095 9315714 12420952 15526190 18631428 23289285 31052380 37262856 46578570 48131189 62104760 93157140 96262378 144393567 186314280 192524756 240655945 288787134 385049512 481311890 577574268 721967835 962623780 1153595917 1155148536 1443935670 1925247560 2307191834 2887871340 3460787751 4614383668 5767979585 5775742680 6921575502 9228767336 11535959170 13843151004 17303938755 23071918340 27686302008 34607877510 35761473427 46143836680 69215755020 71522946854 107284420281 138431510040 143045893708 178807367135 214568840562 286091787416 357614734270 429137681124 536422101405 715229468540 858275362248 1072844202810 1430458937080 2145688405620 4291376811240