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3414033242424 = 2332724517276293
BaseRepresentation
bin110001101011100100001…
…111010001100100111000
3110002101012211212020001100
4301223210033101210320
5421413420002224144
611132215112451400
7501440632515240
oct61534417214470
913071184766040
103414033242424
1110a6979841892
124717b49a9b60
131b9c32618b8c
14bb350b46b20
155dc1813a269
hex31ae43d1938

3414033242424 has 96 divisors (see below), whose sum is σ = 10567715015520. Its totient is φ = 975394752768.

The previous prime is 3414033242401. The next prime is 3414033242441. The reversal of 3414033242424 is 4242423304143.

3414033242424 is a `hidden beast` number, since 3 + 4 + 1 + 403 + 3 + 2 + 4 + 242 + 4 = 666.

It is a super-3 number, since 3×34140332424243 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12218422 + ... + 12494714.

It is an arithmetic number, because the mean of its divisors is an integer number (110080364745).

Almost surely, 23414033242424 is an apocalyptic number.

It is an amenable number.

3414033242424 is an abundant number, since it is smaller than the sum of its proper divisors (7153681773096).

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

3414033242424 is a wasteful number, since it uses less digits than its factorization.

3414033242424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300829 (or 300822 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 3414033242424 its reverse (4242423304143), we get a palindrome (7656456546567).

The spelling of 3414033242424 in words is "three trillion, four hundred fourteen billion, thirty-three million, two hundred forty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 24517 49034 73551 98068 147102 171619 196136 220653 276293 294204 343238 441306 514857 552586 588408 686476 828879 882612 1029714 1105172 1372952 1544571 1657758 1765224 1934051 2059428 2210344 2486637 3089142 3315516 3868102 4118856 4973274 5802153 6178284 6631032 7736204 9946548 11604306 12356568 15472408 17406459 19893096 23208612 34812918 46417224 69625836 139251672 6773875481 13547750962 20321626443 27095501924 40643252886 47417128367 54191003848 60964879329 81286505772 94834256734 121929758658 142251385101 162573011544 189668513468 243859517316 284502770202 379337026936 426754155303 487719034632 569005540404 853508310606 1138011080808 1707016621212 3414033242424