Search a number
-
+
10240511000034 = 2371792311155371
BaseRepresentation
bin1001010100000100111000…
…0001010011110111100010
31100020222112211002222002110
42111001032001103313202
52320240031304000114
633440231550300150
72104565260202160
oct225011601236742
940228484088073
1010240511000034
113298a81543137
12119481a4b7656
135938a3363b23
142759015d8230
1512b5a4b8b759
hex9504e053de2

10240511000034 has 64 divisors (see below), whose sum is σ = 24784185710592. Its totient is φ = 2753703302400.

The previous prime is 10240511000003. The next prime is 10240511000147. The reversal of 10240511000034 is 43000011504201.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 65832369 + ... + 65987739.

It is an arithmetic number, because the mean of its divisors is an integer number (387252901728).

Almost surely, 210240511000034 is an apocalyptic number.

10240511000034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10240511000034 is an abundant number, since it is smaller than the sum of its proper divisors (14543674710558).

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

10240511000034 is a wasteful number, since it uses less digits than its factorization.

10240511000034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247711.

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 10240511000034 its reverse (43000011504201), we get a palindrome (53240522504235).

The spelling of 10240511000034 in words is "ten trillion, two hundred forty billion, five hundred eleven million, thirty-four", and thus it is an aban number.

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 92311 155371 184622 276933 310742 466113 553866 646177 932226 1087597 1292354 1569287 1938531 2175194 2641307 3138574 3262791 3877062 4707861 5282614 6525582 7923921 9415722 10985009 15847842 18489149 21970018 32955027 36978298 55467447 65910054 110934894 14342452381 28684904762 43027357143 86054714286 100397166667 200794333334 243821690477 301191500001 487643380954 602383000002 731465071431 1462930142862 1706751833339 3413503666678 5120255500017 10240511000034