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423140041324 = 2271113203951829
BaseRepresentation
bin1100010100001010001…
…11001010001001101100
31111110012100122021011101
412022011013022021230
523413042322310244
6522215435332444
742366543002230
oct6120507121154
91443170567141
10423140041324
111534a85819a0
126a0108b1124
1330b957205a0
14166a15065c0
15b01816c0d4
hex62851ca26c

423140041324 has 96 divisors (see below), whose sum is σ = 994737945600. Its totient is φ = 152100668160.

The previous prime is 423140041319. The next prime is 423140041409.

423140041324 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 423140041292 and 423140041301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8138242 + ... + 8190070.

It is an arithmetic number, because the mean of its divisors is an integer number (10361853600).

Almost surely, 2423140041324 is an apocalyptic number.

423140041324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423140041324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497368972800).

423140041324 is an abundant number, since it is smaller than the sum of its proper divisors (571597904276).

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

423140041324 is a wasteful number, since it uses less digits than its factorization.

423140041324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53903 (or 53901 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

It can be divided in two parts, 4231400 and 41324, that added together give a palindrome (4272724).

The spelling of 423140041324 in words is "four hundred twenty-three billion, one hundred forty million, forty-one thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 2039 4004 4078 8156 14273 22429 26507 28546 44858 51829 53014 57092 89716 103658 106028 157003 185549 207316 291577 314006 362803 371098 570119 583154 628012 673777 725606 742196 1140238 1166308 1347554 1451212 2041039 2280476 2695108 3990833 4082078 4716439 7411547 7981666 8164156 9432878 14823094 15963332 18865756 29646188 51880829 103761658 105679331 207523316 211358662 422717324 739755317 1162472641 1373831303 1479510634 2324945282 2747662606 2959021268 4649890564 5495325212 8137308487 9616819121 15112144333 16274616974 19233638242 30224288666 32549233948 38467276484 60448577332 105785010331 211570020662 423140041324