Search a number
-
+
43320204040240 = 24519271461228127
BaseRepresentation
bin10011101100110010001010…
…10111111001100000110000
312200101101000111120220100101
421312121011113321200300
521134224234213241430
6232045005455402144
712060532016532541
oct1166310527714060
9180341014526311
1043320204040240
1112891aa4909566
124a378b4823354
131b2310197115a
14a9a9cd9504c8
15501cd0741dca
hex2766455f9830

43320204040240 has 160 divisors (see below), whose sum is σ = 106643014410240. Its totient is φ = 16319951539200.

The previous prime is 43320204040237. The next prime is 43320204040271. The reversal of 43320204040240 is 4204040202334.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 43320204040199 and 43320204040208.

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, 189781057 + ... + 190009183.

It is an arithmetic number, because the mean of its divisors is an integer number (666518840064).

Almost surely, 243320204040240 is an apocalyptic number.

43320204040240 is a gapful number since it is divisible by the number (40) 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 43320204040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53321507205120).

43320204040240 is an abundant number, since it is smaller than the sum of its proper divisors (63322810370000).

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

43320204040240 is a wasteful number, since it uses less digits than its factorization.

43320204040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228891 (or 228885 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 28.

Adding to 43320204040240 its reverse (4204040202334), we get a palindrome (47524244242574).

The spelling of 43320204040240 in words is "forty-three trillion, three hundred twenty billion, two hundred four million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 271 304 380 461 542 760 922 1084 1355 1520 1844 2168 2305 2710 3688 4336 4610 5149 5420 7376 8759 9220 10298 10840 17518 18440 20596 21680 25745 35036 36880 41192 43795 51490 70072 82384 87590 102980 124931 140144 175180 205960 228127 249862 350360 411920 456254 499724 624655 700720 912508 999448 1140635 1249310 1825016 1998896 2281270 2373689 2498620 3650032 4334413 4562540 4747378 4997240 8668826 9125080 9494756 9994480 11868445 17337652 18250160 18989512 21672065 23736890 34675304 37979024 43344130 47473780 61822417 69350608 86688260 94947560 105166547 123644834 173376520 189895120 210333094 247289668 309112085 346753040 420666188 494579336 525832735 618224170 841332376 989158672 1051665470 1174625923 1236448340 1682664752 1998164393 2103330940 2349251846 2472896680 3996328786 4206661880 4698503692 4945793360 5873129615 7992657572 8413323760 9397007384 9990821965 11746259230 15985315144 18794014768 19981643930 23492518460 28500134237 31970630288 39963287860 46985036920 57000268474 79926575720 93970073840 114000536948 142500671185 159853151440 228001073896 285001342370 456002147792 541502550503 570002684740 1083005101006 1140005369480 2166010202012 2280010738960 2707512752515 4332020404024 5415025505030 8664040808048 10830051010060 21660102020120 43320204040240