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6402134214 = 23476784263
BaseRepresentation
bin1011111011001100…
…01101000011000110
3121112011202010010000
411331212031003012
5101102421243324
62535135542130
7314436146220
oct57546150306
917464663100
106402134214
112795924213
1212a808a946
137b04a68c8
1444a3ab410
152770bd9c9
hex17d98d0c6

6402134214 has 80 divisors (see below), whose sum is σ = 16639780608. Its totient is φ = 1801858608.

The previous prime is 6402134197. The next prime is 6402134231. The reversal of 6402134214 is 4124312046.

It is a happy number.

6402134214 is a `hidden beast` number, since 640 + 2 + 1 + 3 + 4 + 2 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (6402134197) and next prime (6402134231).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 33847 + ... + 118109.

Almost surely, 26402134214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6402134214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8319890304).

6402134214 is an abundant number, since it is smaller than the sum of its proper divisors (10237646394).

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

6402134214 is a wasteful number, since it uses less digits than its factorization.

6402134214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84351 (or 84342 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 6402134214 is about 80013.3377256567. The cubic root of 6402134214 is about 1856.8418885063.

The spelling of 6402134214 in words is "six billion, four hundred two million, one hundred thirty-four thousand, two hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 81 126 134 162 189 201 378 402 469 567 603 938 1134 1206 1407 1809 2814 3618 4221 5427 8442 10854 12663 25326 37989 75978 84263 168526 252789 505578 589841 758367 1179682 1516734 1769523 2275101 3539046 4550202 5308569 5645621 6825303 10617138 11291242 13650606 15925707 16936863 31851414 33873726 39519347 47777121 50810589 79038694 95554242 101621178 118558041 152431767 237116082 304863534 355674123 457295301 711348246 914590602 1067022369 2134044738 3201067107 6402134214