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4213130880 = 27357313477
BaseRepresentation
bin1111101100011111…
…0100011010000000
3101212121202020001110
43323013310122000
532112030142010
61534022003320
7206256010260
oct37307643200
911777666043
104213130880
111872225652
12996b76540
13521b2566a
142bd7937a0
15199d25120
hexfb1f4680

4213130880 has 128 divisors (see below), whose sum is σ = 15347882880. Its totient is φ = 962998272.

The previous prime is 4213130843. The next prime is 4213130891. The reversal of 4213130880 is 880313124.

4213130880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143299 + ... + 170178.

It is an arithmetic number, because the mean of its divisors is an integer number (119905335).

Almost surely, 24213130880 is an apocalyptic number.

4213130880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4213130880 is an abundant number, since it is smaller than the sum of its proper divisors (11134752000).

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

4213130880 is a wasteful number, since it uses less digits than its factorization.

4213130880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313506 (or 313494 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4213130880 is about 64908.6348647081. The cubic root of 4213130880 is about 1615.1083045836.

The spelling of 4213130880 in words is "four billion, two hundred thirteen million, one hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 313477 626954 940431 1253908 1567385 1880862 2194339 2507816 3134770 3761724 4388678 4702155 5015632 6269540 6583017 7523448 8777356 9404310 10031264 10971695 12539080 13166034 15046896 17554712 18808620 20062528 21943390 25078160 26332068 30093792 32915085 35109424 37617240 40125056 43886780 50156320 52664136 60187584 65830170 70218848 75234480 87773560 100312640 105328272 120375168 131660340 140437696 150468960 175547120 200625280 210656544 263320680 280875392 300937920 351094240 421313088 526641360 601875840 702188480 842626176 1053282720 1404376960 2106565440 4213130880