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10034444040 = 2335215338839
BaseRepresentation
bin10010101100001100…
…10111011100001000
3221220022120120110120
421112012113130020
5131022304202130
64335412543240
7503443236615
oct112606273410
927808516416
1010034444040
11428a200365
121b40621b20
13c3bb8a16a
146b296b50c
153dae13910
hex256197708

10034444040 has 64 divisors (see below), whose sum is σ = 30118089600. Its totient is φ = 2674540032.

The previous prime is 10034444003. The next prime is 10034444047. The reversal of 10034444040 is 4044443001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10034444040.

It is not an unprimeable number, because it can be changed into a prime (10034444047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238941 + ... + 277779.

It is an arithmetic number, because the mean of its divisors is an integer number (470595150).

Almost surely, 210034444040 is an apocalyptic number.

10034444040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10034444040 is an abundant number, since it is smaller than the sum of its proper divisors (20083645560).

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

10034444040 is a wasteful number, since it uses less digits than its factorization.

10034444040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41006 (or 41002 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 10034444040 its reverse (4044443001), we get a palindrome (14078887041).

The spelling of 10034444040 in words is "ten billion, thirty-four million, four hundred forty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2153 4306 6459 8612 10765 12918 17224 21530 25836 32295 38839 43060 51672 64590 77678 86120 116517 129180 155356 194195 233034 258360 310712 388390 466068 582585 776780 932136 1165170 1553560 2330340 4660680 83620367 167240734 250861101 334481468 418101835 501722202 668962936 836203670 1003444404 1254305505 1672407340 2006888808 2508611010 3344814680 5017222020 10034444040