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4214375424 = 21032765327
BaseRepresentation
bin1111101100110010…
…0100010000000000
3101212201002110020200
43323030210100000
532112340003144
61534104405200
7206302412550
oct37314442000
911781073220
104214375424
1118729a56a6
12997476800
1352216cc8c
142bd9d9160
15199ebdc69
hexfb324400

4214375424 has 132 divisors (see below), whose sum is σ = 13907547264. Its totient is φ = 1204088832.

The previous prime is 4214375423. The next prime is 4214375441. The reversal of 4214375424 is 4245734124.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4214375423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31849 + ... + 97175.

Almost surely, 24214375424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4214375424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6953773632).

4214375424 is an abundant number, since it is smaller than the sum of its proper divisors (9693171840).

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

4214375424 is a wasteful number, since it uses less digits than its factorization.

4214375424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65360 (or 65339 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 4214375424 is about 64918.2210477151. The cubic root of 4214375424 is about 1615.2673213589.

The spelling of 4214375424 in words is "four billion, two hundred fourteen million, three hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2304 2688 3072 3584 4032 4608 5376 7168 8064 9216 10752 16128 21504 32256 64512 65327 130654 195981 261308 391962 457289 522616 587943 783924 914578 1045232 1175886 1371867 1567848 1829156 2090464 2351772 2743734 3135696 3658312 4115601 4180928 4703544 5487468 6271392 7316624 8231202 8361856 9407088 10974936 12542784 14633248 16462404 16723712 18814176 21949872 25085568 29266496 32924808 33447424 37628352 43899744 50171136 58532992 65849616 66894848 75256704 87799488 100342272 117065984 131699232 150513408 175598976 200684544 234131968 263398464 301026816 351197952 468263936 526796928 602053632 702395904 1053593856 1404791808 2107187712 4214375424