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4411966840 = 23543101109233
BaseRepresentation
bin1000001101111100…
…10100010101111000
3102101110220010201021
410012332110111320
533013430414330
62005443432224
7214222046041
oct40676242570
912343803637
104411966840
111964492a96
12a31685674
13554092b88
142dbd518c8
151ac4ee67a
hex106f94578

4411966840 has 128 divisors (see below), whose sum is σ = 10396900800. Its totient is φ = 1683763200.

The previous prime is 4411966831. The next prime is 4411966879. The reversal of 4411966840 is 486691144.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

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, 18935364 + ... + 18935596.

Almost surely, 24411966840 is an apocalyptic number.

4411966840 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 4411966840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5198450400).

4411966840 is an abundant number, since it is smaller than the sum of its proper divisors (5984933960).

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

4411966840 is a wasteful number, since it uses less digits than its factorization.

4411966840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 4411966840 is about 66422.6380084381. The cubic root of 4411966840 is about 1640.1267550254.

The spelling of 4411966840 in words is "four billion, four hundred eleven million, nine hundred sixty-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 101 109 172 202 215 218 233 344 404 430 436 466 505 545 808 860 872 932 1010 1090 1165 1720 1864 2020 2180 2330 4040 4343 4360 4660 4687 8686 9320 9374 10019 11009 17372 18748 20038 21715 22018 23435 23533 25397 34744 37496 40076 43430 44036 46870 47066 50095 50794 55045 80152 86860 88072 93740 94132 100190 101588 110090 117665 126985 173720 187480 188264 200380 203176 220180 235330 253970 400760 440360 470660 473387 507940 941320 946774 1011919 1015880 1092071 1893548 2023838 2184142 2366935 2565097 3787096 4047676 4368284 4733870 5059595 5130194 5460355 8095352 8736568 9467740 10119190 10260388 10920710 12825485 18935480 20238380 20520776 21841420 25650970 40476760 43682840 51301940 102603880 110299171 220598342 441196684 551495855 882393368 1102991710 2205983420 4411966840