Search a number
-
+
43245090944 = 271133791139
BaseRepresentation
bin101000010001100110…
…111011100010000000
311010121211021020101222
4220101212323202000
51202031220402234
631511100214212
73060440131226
oct502146734200
9133554236358
1043245090944
11173817a9990
12846a83a368
13410247ac13
142143572b16
1511d184042e
hexa119bb880

43245090944 has 64 divisors (see below), whose sum is σ = 94264279200. Its totient is φ = 19598315520.

The previous prime is 43245090907. The next prime is 43245091031. The reversal of 43245090944 is 44909054234.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×432450909442 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 43245090895 and 43245090904.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 428927 + ... + 520065.

Almost surely, 243245090944 is an apocalyptic number.

43245090944 is a gapful number since it is divisible by the number (44) 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 43245090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47132139600).

43245090944 is an abundant number, since it is smaller than the sum of its proper divisors (51019188256).

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

43245090944 is a wasteful number, since it uses less digits than its factorization.

43245090944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91501 (or 91489 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The spelling of 43245090944 in words is "forty-three billion, two hundred forty-five million, ninety thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 337 352 674 704 1348 1408 2696 3707 5392 7414 10784 14828 21568 29656 43136 59312 91139 118624 182278 237248 364556 474496 729112 1002529 1458224 2005058 2916448 4010116 5832896 8020232 11665792 16040464 30713843 32080928 61427686 64161856 122855372 128323712 245710744 337852273 491421488 675704546 982842976 1351409092 1965685952 2702818184 3931371904 5405636368 10811272736 21622545472 43245090944