Search a number
-
+
10042442410 = 25711131003241
BaseRepresentation
bin10010101101001001…
…11000001010101010
3221220212121221011111
421112210320022222
5131031331124120
64340300220534
7503601231520
oct112644701252
927825557144
1010042442410
114293773690
121b4323a74a
13c4072a920
146b3a50310
153db99375a
hex2569382aa

10042442410 has 64 divisors (see below), whose sum is σ = 24270430464. Its totient is φ = 2889331200.

The previous prime is 10042442387. The next prime is 10042442411. The reversal of 10042442410 is 1424424001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (10042442411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 491611 + ... + 511630.

It is an arithmetic number, because the mean of its divisors is an integer number (379225476).

Almost surely, 210042442410 is an apocalyptic number.

10042442410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10042442410 is an abundant number, since it is smaller than the sum of its proper divisors (14227988054).

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

10042442410 is a wasteful number, since it uses less digits than its factorization.

10042442410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003279.

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 10042442410 its reverse (1424424001), we get a palindrome (11466866411).

The spelling of 10042442410 in words is "ten billion, forty-two million, four hundred forty-two thousand, four hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 5005 10010 1003241 2006482 5016205 7022687 10032410 11035651 13042133 14045374 22071302 26084266 35113435 55178255 65210665 70226870 77249557 91294931 110356510 130421330 143463463 154499114 182589862 286926926 386247785 456474655 717317315 772495570 912949310 1004244241 1434634630 2008488482 5021221205 10042442410