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434123024133432 = 233461133312943323
BaseRepresentation
bin110001010110101010010010…
…0101001000110110100111000
32002221002202101222021002020110
41202231110210221012310320
5423400132423134232212
64135145210350224320
7160304232144245634
oct14255244451066470
92087082358232213
10434123024133432
111163635a4617667
1240833b4a4b50a0
1315830819353c4a
14792b948b65dc4
15352c8095c7a3c
hex18ad524a46d38

434123024133432 has 64 divisors (see below), whose sum is σ = 1087743765144960. Its totient is φ = 144382894716800.

The previous prime is 434123024133347. The next prime is 434123024133467. The reversal of 434123024133432 is 234331420321434.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146022523 + ... + 148965845.

It is an arithmetic number, because the mean of its divisors is an integer number (16995996330390).

Almost surely, 2434123024133432 is an apocalyptic number.

It is an amenable number.

434123024133432 is an abundant number, since it is smaller than the sum of its proper divisors (653620741011528).

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

434123024133432 is a wasteful number, since it uses less digits than its factorization.

434123024133432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957124 (or 2957120 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 39.

Adding to 434123024133432 its reverse (234331420321434), we get a palindrome (668454444454866).

The spelling of 434123024133432 in words is "four hundred thirty-four trillion, one hundred twenty-three billion, twenty-four million, one hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 461 922 1383 1844 2766 3688 5532 11064 13331 26662 39993 53324 79986 106648 159972 319944 2943323 5886646 6145591 8829969 11773292 12291182 17659938 18436773 23546584 24582364 35319876 36873546 49164728 70639752 73747092 147494184 1356871903 2713743806 4070615709 5427487612 8141231418 10854975224 16282462836 32564925672 39237438913 78474877826 117712316739 156949755652 235424633478 313899511304 470849266956 941698533912 18088459338893 36176918677786 54265378016679 72353837355572 108530756033358 144707674711144 217061512066716 434123024133432