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10314744030 = 23255914913037
BaseRepresentation
bin10011001101100111…
…01000000011011110
3222121212000021202200
421212303220003132
5132111033302110
64423304432330
7513415610013
oct114663500336
928555007680
1010314744030
114413449948
121bba4786a6
13c84c7b246
146dbc9370a
154058306c0
hex266ce80de

10314744030 has 96 divisors (see below), whose sum is σ = 27458028000. Its totient is φ = 2685624576.

The previous prime is 10314744023. The next prime is 10314744053. The reversal of 10314744030 is 3044741301.

10314744030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10314743985 and 10314744003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 784672 + ... + 797708.

It is an arithmetic number, because the mean of its divisors is an integer number (286021125).

Almost surely, 210314744030 is an apocalyptic number.

10314744030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10314744030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13729014000).

10314744030 is an abundant number, since it is smaller than the sum of its proper divisors (17143283970).

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

10314744030 is a wasteful number, since it uses less digits than its factorization.

10314744030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13258 (or 13255 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 10314744030 in words is "ten billion, three hundred fourteen million, seven hundred forty-four thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 90 118 149 177 295 298 354 447 531 590 745 885 894 1062 1341 1490 1770 2235 2655 2682 4470 5310 6705 8791 13037 13410 17582 26074 26373 39111 43955 52746 65185 78222 79119 87910 117333 130370 131865 158238 195555 234666 263730 391110 395595 586665 769183 791190 1173330 1538366 1942513 2307549 3845915 3885026 4615098 5827539 6922647 7691830 9712565 11537745 11655078 13845294 17482617 19425130 23075490 29137695 34613235 34965234 58275390 69226470 87413085 114608267 174826170 229216534 343824801 573041335 687649602 1031474403 1146082670 1719124005 2062948806 3438248010 5157372015 10314744030