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10254340044 = 22331357112791
BaseRepresentation
bin10011000110011010…
…01100111111001100
3222110122100110002000
421203031030333030
5132000102340134
64413310032300
7512053311054
oct114315147714
928418313060
1010254340044
1143923424a3
121ba21a8690
13c755bc440
146d3c4c564
1540039ce99
hex26334cfcc

10254340044 has 96 divisors (see below), whose sum is σ = 28682734080. Its totient is φ = 3149409600.

The previous prime is 10254340043. The next prime is 10254340049. The reversal of 10254340044 is 44004345201.

It is a happy number.

10254340044 is a `hidden beast` number, since 1 + 0 + 254 + 3 + 400 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10254340043) 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, 795289 + ... + 808079.

It is an arithmetic number, because the mean of its divisors is an integer number (298778480).

Almost surely, 210254340044 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 10254340044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14341367040).

10254340044 is an abundant number, since it is smaller than the sum of its proper divisors (18428394036).

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

10254340044 is a wasteful number, since it uses less digits than its factorization.

10254340044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13388 (or 13380 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 10254340044 its reverse (44004345201), we get a palindrome (54258685245).

The spelling of 10254340044 in words is "ten billion, two hundred fifty-four million, three hundred forty thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 571 702 1142 1404 1713 2284 3426 5139 6852 7423 10278 12791 14846 15417 20556 22269 25582 29692 30834 38373 44538 51164 61668 66807 76746 89076 115119 133614 153492 166283 200421 230238 267228 332566 345357 400842 460476 498849 665132 690714 801684 997698 1381428 1496547 1995396 2993094 4489641 5986188 7303661 8979282 14607322 17958564 21910983 29214644 43821966 65732949 87643932 94947593 131465898 189895186 197198847 262931796 284842779 379790372 394397694 569685558 788795388 854528337 1139371116 1709056674 2563585011 3418113348 5127170022 10254340044