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10322340444 = 223213193137447
BaseRepresentation
bin10011001110100001…
…00110101001011100
3222122101022020002100
421213100212221130
5132120004343234
64424135325100
7513540306003
oct114720465134
928571266070
1010322340444
114417768179
122000b20790
13c8670aa70
146dccadc3a
15406331399
hex267426a5c

10322340444 has 144 divisors (see below), whose sum is σ = 30533601280. Its totient is φ = 2911800960.

The previous prime is 10322340443. The next prime is 10322340547. The reversal of 10322340444 is 44404322301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10322340443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256929 + ... + 294375.

Almost surely, 210322340444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10322340444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266800640).

10322340444 is an abundant number, since it is smaller than the sum of its proper divisors (20211260836).

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

10322340444 is a wasteful number, since it uses less digits than its factorization.

10322340444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37520 (or 37515 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 10322340444 its reverse (44404322301), we get a palindrome (54726662745).

The spelling of 10322340444 in words is "ten billion, three hundred twenty-two million, three hundred forty thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 31 36 38 39 52 57 62 76 78 93 114 117 124 156 171 186 228 234 247 279 342 372 403 468 494 558 589 684 741 806 988 1116 1178 1209 1482 1612 1767 2223 2356 2418 2964 3534 3627 4446 4836 5301 7068 7254 7657 8892 10602 14508 15314 21204 22971 30628 37447 45942 68913 74894 91884 112341 137826 149788 224682 275652 337023 449364 486811 674046 711493 973622 1160857 1348092 1422986 1460433 1947244 2134479 2321714 2845972 2920866 3482571 4268958 4381299 4643428 5841732 6403437 6965142 8537916 8762598 9249409 10447713 12806874 13930284 15091141 17525196 18498818 20895426 22056283 25613748 27748227 30182282 36997636 41790852 44112566 45273423 55496454 60364564 66168849 83244681 88225132 90546846 110992908 132337698 135820269 166489362 181093692 198506547 264675396 271640538 286731679 332978724 397013094 543281076 573463358 794026188 860195037 1146926716 1720390074 2580585111 3440780148 5161170222 10322340444