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4002014421 = 3217234724197
BaseRepresentation
bin1110111010001001…
…1110010011010101
3101022220111101201100
43232202132103111
531144003430141
61501041020313
7201113363346
oct35642362325
911286441640
104002014421
11177403a739
12938324699
134ba178592
1429d71a0cd
151865220b6
hexee89e4d5

4002014421 has 48 divisors (see below), whose sum is σ = 6523006464. Its totient is φ = 2350689792.

The previous prime is 4002014417. The next prime is 4002014449. The reversal of 4002014421 is 1244102004.

4002014421 is a `hidden beast` number, since 40 + 0 + 201 + 4 + 421 = 666.

It is not a de Polignac number, because 4002014421 - 22 = 4002014417 is a prime.

It is a super-2 number, since 2×40020144212 = 32032238851783930482, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4002014394 and 4002014403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002014491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153295 + ... + 177491.

It is an arithmetic number, because the mean of its divisors is an integer number (135895968).

Almost surely, 24002014421 is an apocalyptic number.

It is an amenable number.

4002014421 is a deficient number, since it is larger than the sum of its proper divisors (2520992043).

4002014421 is a wasteful number, since it uses less digits than its factorization.

4002014421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24290 (or 24287 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 4002014421 is about 63261.4765951602. The cubic root of 4002014421 is about 1587.6674817493.

Adding to 4002014421 its reverse (1244102004), we get a palindrome (5246116425).

The spelling of 4002014421 in words is "four billion, two million, fourteen thousand, four hundred twenty-one".

Divisors: 1 3 9 17 23 47 51 69 141 153 207 391 423 799 1081 1173 2397 3243 3519 7191 9729 18377 24197 55131 72591 165393 217773 411349 556531 1137259 1234047 1669593 3411777 3702141 5008779 9461027 10235331 19333403 26156957 28383081 58000209 78470871 85149243 174000627 235412613 444668269 1334004807 4002014421