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234365421760 = 26517181123789
BaseRepresentation
bin1101101001000101000…
…1001000100011000000
3211101221022212222201221
43122101101020203000
512314440021444020
6255355504204424
722634536134001
oct3322121104300
9741838788657
10234365421760
1190437197208
1239508609714
131913cc2b472
14b4b42031a8
15616a4566aa
hex36914488c0

234365421760 has 112 divisors (see below), whose sum is σ = 591262195680. Its totient is φ = 88179261440.

The previous prime is 234365421671. The next prime is 234365421761. The reversal of 234365421760 is 67124563432.

It is not an unprimeable number, because it can be changed into a prime (234365421761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9839946 + ... + 9863734.

Almost surely, 2234365421760 is an apocalyptic number.

234365421760 is a gapful number since it is divisible by the number (20) 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 234365421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295631097840).

234365421760 is an abundant number, since it is smaller than the sum of its proper divisors (356896773920).

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

234365421760 is a wasteful number, since it uses less digits than its factorization.

234365421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25634 (or 25624 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 234365421760 in words is "two hundred thirty-four billion, three hundred sixty-five million, four hundred twenty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 1811 2720 3622 5440 7244 9055 14488 18110 23789 28976 30787 36220 47578 57952 61574 72440 95156 115904 118945 123148 144880 153935 190312 237890 246296 289760 307870 380624 404413 475780 492592 579520 615740 761248 808826 951560 985184 1231480 1522496 1617652 1903120 1970368 2022065 2462960 3235304 3806240 4044130 4925920 6470608 7612480 8088260 9851840 12941216 16176520 25882432 32353040 43081879 64706080 86163758 129412160 172327516 215409395 344655032 430818790 689310064 732391943 861637580 1378620128 1464783886 1723275160 2757240256 2929567772 3446550320 3661959715 5859135544 6893100640 7323919430 11718271088 13786201280 14647838860 23436542176 29295677720 46873084352 58591355440 117182710880 234365421760