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4141312434 = 23571217317
BaseRepresentation
bin1111011011010111…
…0110100110110010
3101200121121110200000
43312311312212302
531440133444214
61522534410430
7204424401120
oct36665664662
911617543600
104141312434
111835732366
12976b00a16
1350cc9b23c
142b401a910
1519388a809
hexf6d769b2

4141312434 has 48 divisors (see below), whose sum is σ = 10634490048. Its totient is φ = 1183231152.

The previous prime is 4141312423. The next prime is 4141312459. The reversal of 4141312434 is 4342131414.

4141312434 is a `hidden beast` number, since 4 + 1 + 413 + 1 + 243 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4141312398 and 4141312407.

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, 605257 + ... + 612060.

It is an arithmetic number, because the mean of its divisors is an integer number (221551876).

Almost surely, 24141312434 is an apocalyptic number.

4141312434 is an abundant number, since it is smaller than the sum of its proper divisors (6493177614).

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

4141312434 is a wasteful number, since it uses less digits than its factorization.

4141312434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217341 (or 1217329 counting only the distinct ones).

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

The square root of 4141312434 is about 64353.0297188874. The cubic root of 4141312434 is about 1605.8784325796.

Adding to 4141312434 its reverse (4342131414), we get a palindrome (8483443848).

The spelling of 4141312434 in words is "four billion, one hundred forty-one million, three hundred twelve thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 1217317 2434634 3651951 7303902 8521219 10955853 17042438 21911706 25563657 32867559 51127314 65735118 76690971 98602677 153381942 197205354 230072913 295808031 460145826 591616062 690218739 1380437478 2070656217 4141312434