Search a number
-
+
10432442302040 = 2351131764841811
BaseRepresentation
bin1001011111001111111000…
…0001000111111001011000
31100221022221211201022202102
42113303332001013321120
52331411120212131130
634104333044222532
72124501434304263
oct227637601077130
940838854638672
1010432442302040
113362412785090
121205a6399aa48
135a8a0cb38b95
14280d0bc4bcda
15131589a95645
hex97cfe047e58

10432442302040 has 64 divisors (see below), whose sum is σ = 26432933022720. Its totient is φ = 3671240688000.

The previous prime is 10432442302021. The next prime is 10432442302049. The reversal of 10432442302040 is 4020324423401.

It is a junction number, because it is equal to n+sod(n) for n = 10432442301994 and 10432442302012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10432442302049) 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, 382407266 + ... + 382434545.

It is an arithmetic number, because the mean of its divisors is an integer number (413014578480).

Almost surely, 210432442302040 is an apocalyptic number.

10432442302040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10432442302040 is an abundant number, since it is smaller than the sum of its proper divisors (16000490720680).

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

10432442302040 is a wasteful number, since it uses less digits than its factorization.

10432442302040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764841864 (or 764841860 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 29.

Adding to 10432442302040 its reverse (4020324423401), we get a palindrome (14452766725441).

The spelling of 10432442302040 in words is "ten trillion, four hundred thirty-two billion, four hundred forty-two million, three hundred two thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 155 220 248 310 341 440 620 682 1240 1364 1705 2728 3410 6820 13640 764841811 1529683622 3059367244 3824209055 6118734488 7648418110 8413259921 15296836220 16826519842 23710096141 30593672440 33653039684 42066299605 47420192282 67306079368 84132599210 94840384564 118550480705 168265198420 189680769128 237100961410 260811057551 336530396840 474201922820 521622115102 948403845640 1043244230204 1304055287755 2086488460408 2608110575510 5216221151020 10432442302040