Search a number
-
+
109225698344 = 23731199421751
BaseRepresentation
bin110010110111001011…
…0111110010000101000
3101102221010102101011222
41211232112332100220
53242143234321334
6122102205441212
710614500055140
oct1455626762050
9342833371158
10109225698344
1142360071894
1219203570208
13a3b8c74049
145402427920
152c94149d2e
hex196e5be428

109225698344 has 128 divisors (see below), whose sum is σ = 243720192000. Its totient is φ = 44906400000.

The previous prime is 109225698311. The next prime is 109225698371. The reversal of 109225698344 is 443896522901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145439969 + ... + 145440719.

It is an arithmetic number, because the mean of its divisors is an integer number (1904064000).

Almost surely, 2109225698344 is an apocalyptic number.

109225698344 is a gapful number since it is divisible by the number (14) 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 109225698344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121860096000).

109225698344 is an abundant number, since it is smaller than the sum of its proper divisors (134494493656).

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

109225698344 is a wasteful number, since it uses less digits than its factorization.

109225698344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1415 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The spelling of 109225698344 in words is "one hundred nine billion, two hundred twenty-five million, six hundred ninety-eight thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 199 217 248 398 421 434 751 796 842 868 1393 1502 1592 1684 1736 2786 2947 3004 3368 5257 5572 5894 6008 6169 10514 11144 11788 12338 13051 21028 23281 23576 24676 26102 42056 43183 46562 49352 52204 83779 86366 91357 93124 104408 149449 162967 167558 172732 182714 186248 298898 316171 325934 335116 345464 365428 586453 597796 632342 651868 670232 730856 1046143 1172906 1195592 1264684 1303736 2092286 2213197 2345812 2529368 2597149 4184572 4426394 4632919 4691624 5194298 8369144 8852788 9265838 9801301 10388596 17705576 18180043 18531676 19602602 20777192 32430433 36360086 37063352 39205204 62918029 64860866 68609107 72720172 78410408 125836058 129721732 137218214 145440344 251672116 259443464 274436428 440426203 503344232 548872856 880852406 1761704812 1950458899 3523409624 3900917798 7801835596 13653212293 15603671192 27306424586 54612849172 109225698344