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4214244104 = 2371722719501
BaseRepresentation
bin1111101100110000…
…0100001100001000
3101212200211210002222
43323030010030020
532112321302404
61534101513212
7206301324650
oct37314041410
911780753088
104214244104
111872915a74
12997412808
13522125285
142bd9a3360
15199e94dbe
hexfb304308

4214244104 has 64 divisors (see below), whose sum is σ = 9604344960. Its totient is φ = 1692288000.

The previous prime is 4214244103. The next prime is 4214244107. The reversal of 4214244104 is 4014424124.

It is not an unprimeable number, because it can be changed into a prime (4214244103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206354 + ... + 225854.

It is an arithmetic number, because the mean of its divisors is an integer number (150067890).

Almost surely, 24214244104 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 4214244104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4802172480).

4214244104 is an abundant number, since it is smaller than the sum of its proper divisors (5390100856).

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

4214244104 is a wasteful number, since it uses less digits than its factorization.

4214244104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19758 (or 19754 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

The square root of 4214244104 is about 64917.2096134761. The cubic root of 4214244104 is about 1615.2505439335.

Adding to 4214244104 its reverse (4014424124), we get a palindrome (8228668228).

The spelling of 4214244104 in words is "four billion, two hundred fourteen million, two hundred forty-four thousand, one hundred four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 227 238 454 476 908 952 1589 1816 3178 3859 6356 7718 12712 15436 19501 27013 30872 39002 54026 78004 108052 136507 156008 216104 273014 331517 546028 663034 1092056 1326068 2320619 2652136 4426727 4641238 8853454 9282476 17706908 18564952 30987089 35413816 61974178 75254359 123948356 150508718 247896712 301017436 526780513 602034872 1053561026 2107122052 4214244104