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10334401044 = 22311432118629
BaseRepresentation
bin10011001111111101…
…00111001000010100
3222200012222222010020
421213332213020110
5132131101313134
64425250025140
7514044650052
oct114776471024
928605888106
1010334401044
114423555510
122004b781b0
13c89071506
1470072d1d2
15407414b49
hex267fa7214

10334401044 has 96 divisors (see below), whose sum is σ = 27048215040. Its totient is φ = 3043958400.

The previous prime is 10334401043. The next prime is 10334401061. The reversal of 10334401044 is 44010443301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10334401043) 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, 1193322 + ... + 1201950.

It is an arithmetic number, because the mean of its divisors is an integer number (281752240).

Almost surely, 210334401044 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 10334401044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13524107520).

10334401044 is an abundant number, since it is smaller than the sum of its proper divisors (16713813996).

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

10334401044 is a wasteful number, since it uses less digits than its factorization.

10334401044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8901 (or 8899 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10334401044 its reverse (44010443301), we get a palindrome (54344844345).

The spelling of 10334401044 in words is "ten billion, three hundred thirty-four million, four hundred one thousand, forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 43 44 66 86 129 132 172 211 258 422 473 516 633 844 946 1266 1419 1892 2321 2532 2838 4642 5676 6963 8629 9073 9284 13926 17258 18146 25887 27219 27852 34516 36292 51774 54438 94919 99803 103548 108876 189838 199606 284757 299409 371047 379676 399212 569514 598818 742094 1113141 1139028 1197636 1484188 1820719 2226282 3641438 4081517 4452564 5462157 7282876 8163034 10924314 12244551 16326068 20027909 21848628 24489102 40055818 48978204 60083727 78290917 80111636 120167454 156581834 234872751 240334908 313163668 469745502 861200087 939491004 1722400174 2583600261 3444800348 5167200522 10334401044