Search a number
-
+
20232566141424 = 2437134879511289
BaseRepresentation
bin1001001100110110000101…
…11010101111000111110000
32122122012210022200120210020
410212123002322233013300
510122442243413011144
6111010413525403440
74155516564426420
oct446330272570760
978565708616706
1020232566141424
1164a06461412aa
122329259569580
13b39bcc514880
144dd3934d4480
15251467377419
hex1266c2eaf1f0

20232566141424 has 160 divisors (see below), whose sum is σ = 64461284213760. Its totient is φ = 5325103835136.

The previous prime is 20232566141423. The next prime is 20232566141453. The reversal of 20232566141424 is 42414166523202.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20232566141423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2628429 + ... + 6882860.

It is an arithmetic number, because the mean of its divisors is an integer number (402883026336).

Almost surely, 220232566141424 is an apocalyptic number.

20232566141424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20232566141424 is an abundant number, since it is smaller than the sum of its proper divisors (44228718072336).

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

20232566141424 is a wasteful number, since it uses less digits than its factorization.

20232566141424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9511807 (or 9511801 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 42.

The spelling of 20232566141424 in words is "twenty trillion, two hundred thirty-two billion, five hundred sixty-six million, one hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 487 546 624 728 974 1092 1456 1461 1948 2184 2922 3409 3896 4368 5844 6331 6818 7792 10227 11688 12662 13636 18993 20454 23376 25324 27272 37986 40908 44317 50648 54544 75972 81816 88634 101296 132951 151944 163632 177268 265902 303888 354536 531804 709072 1063608 2127216 9511289 19022578 28533867 38045156 57067734 66579023 76090312 114135468 123646757 133158046 152180624 199737069 228270936 247293514 266316092 370940271 399474138 456541872 494587028 532632184 741880542 798948276 865527299 989174056 1065264368 1483761084 1597896552 1731054598 1978348112 2596581897 2967522168 3195793104 3462109196 4631997743 5193163794 5935044336 6924218392 9263995486 10386327588 13848436784 13895993229 18527990972 20772655176 27791986458 32423984201 37055981944 41545310352 55583972916 60215970659 64847968402 74111963888 97271952603 111167945832 120431941318 129695936804 180647911977 194543905206 222335891664 240863882636 259391873608 361295823954 389087810412 421511794613 481727765272 518783747216 722591647908 778175620824 843023589226 963455530544 1264535383839 1445183295816 1556351241648 1686047178452 2529070767678 2890366591632 3372094356904 5058141535356 6744188713808 10116283070712 20232566141424