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2141396424 = 2332293133083
BaseRepresentation
bin111111110100011…
…0001110111001000
312112020102012122200
41333220301313020
513341144141144
6552253320200
7104031366156
oct17750616710
95466365580
102141396424
119a9842912
124b9196060
1328185319b
141645843d6
15c7ee2c69
hex7fa31dc8

2141396424 has 96 divisors (see below), whose sum is σ = 6193324800. Its totient is φ = 666933120.

The previous prime is 2141396419. The next prime is 2141396429. The reversal of 2141396424 is 4246931412.

2141396424 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 3 + 9 + 642 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2141396419) and next prime (2141396429).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2141396429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48187 + ... + 81269.

It is an arithmetic number, because the mean of its divisors is an integer number (64513800).

Almost surely, 22141396424 is an apocalyptic number.

2141396424 is a gapful number since it is divisible by the number (24) 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 2141396424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3096662400).

2141396424 is an abundant number, since it is smaller than the sum of its proper divisors (4051928376).

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

2141396424 is a wasteful number, since it uses less digits than its factorization.

2141396424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33155 (or 33148 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 2141396424 is about 46275.2247320313. The cubic root of 2141396424 is about 1288.9389797263.

The spelling of 2141396424 in words is "two billion, one hundred forty-one million, three hundred ninety-six thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 31 36 58 62 72 87 93 116 124 174 186 232 248 261 279 348 372 522 558 696 744 899 1044 1116 1798 2088 2232 2697 3596 5394 7192 8091 10788 16182 21576 32364 33083 64728 66166 99249 132332 198498 264664 297747 396996 595494 793992 959407 1025573 1190988 1918814 2051146 2381976 2878221 3076719 3837628 4102292 5756442 6153438 7675256 8204584 8634663 9230157 11512884 12306876 17269326 18460314 23025768 24613752 29741617 34538652 36920628 59483234 69077304 73841256 89224851 118966468 178449702 237932936 267674553 356899404 535349106 713798808 1070698212 2141396424