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423414244040 = 235137112968437
BaseRepresentation
bin1100010100101010111…
…01001010001011001000
31111110220110121012120112
412022111131022023020
523414123021302130
6522302552413452
742406412456114
oct6122535121310
91443813535515
10423414244040
11153629336507
126a0886a7288
1330c0a488308
14166c9ac2744
15b032282495
hex629574a2c8

423414244040 has 64 divisors (see below), whose sum is σ = 960499954800. Its totient is φ = 167978078208.

The previous prime is 423414243953. The next prime is 423414244087. The reversal of 423414244040 is 40442414324.

It can be written as a sum of positive squares in 8 ways, for example, as 119123000164 + 304291243876 = 345142^2 + 551626^2 .

It is a junction number, because it is equal to n+sod(n) for n = 423414243988 and 423414244006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6152702 + ... + 6221138.

Almost surely, 2423414244040 is an apocalyptic number.

423414244040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423414244040 is an abundant number, since it is smaller than the sum of its proper divisors (537085710760).

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

423414244040 is a wasteful number, since it uses less digits than its factorization.

423414244040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69714 (or 69710 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 423414244040 its reverse (40442414324), we get a palindrome (463856658364).

The spelling of 423414244040 in words is "four hundred twenty-three billion, four hundred fourteen million, two hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 137 274 548 685 1096 1129 1370 2258 2740 4516 5480 5645 9032 11290 22580 45160 68437 136874 154673 273748 309346 342185 547496 618692 684370 773365 1237384 1368740 1546730 2737480 3093460 6186920 9375869 18751738 37503476 46879345 75006952 77265373 93758690 154530746 187517380 309061492 375034760 386326865 618122984 772653730 1545307460 3090614920 10585356101 21170712202 42341424404 52926780505 84682848808 105853561010 211707122020 423414244040