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1042253414334 = 2321171117163313
BaseRepresentation
bin11110010101010110010…
…01001111111110111110
310200122020102200021022200
433022223021033332332
5114034013333224314
62114445443452330
7135205003563636
oct17125311177676
93618212607280
101042253414334
11372020976530
12149bb46870a6
1377390161c62
1438633dd76c6
151c1a0ebb709
hexf2ab24ffbe

1042253414334 has 96 divisors (see below), whose sum is σ = 2500378253568. Its totient is φ = 311115168000.

The previous prime is 1042253414309. The next prime is 1042253414347. The reversal of 1042253414334 is 4334143522401.

1042253414334 is a `hidden beast` number, since 10 + 4 + 225 + 3 + 414 + 3 + 3 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16430262 + ... + 16493574.

It is an arithmetic number, because the mean of its divisors is an integer number (26045606808).

Almost surely, 21042253414334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042253414334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250189126784).

1042253414334 is an abundant number, since it is smaller than the sum of its proper divisors (1458124839234).

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

1042253414334 is a wasteful number, since it uses less digits than its factorization.

1042253414334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64574 (or 64571 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

Adding to 1042253414334 its reverse (4334143522401), we get a palindrome (5376396936735).

The spelling of 1042253414334 in words is "one trillion, forty-two billion, two hundred fifty-three million, four hundred fourteen thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 71 99 142 198 213 426 639 781 1171 1278 1562 2342 2343 3513 4686 7026 7029 10539 12881 14058 21078 25762 38643 63313 77286 83141 115929 126626 166282 189939 231858 249423 379878 498846 569817 696443 748269 914551 1139634 1392886 1496538 1829102 2089329 2743653 4178658 4495223 5487306 6267987 8230959 8990446 12535974 13485669 16461918 26971338 40457007 49447453 74139523 80914014 98894906 148279046 148342359 222418569 296684718 444837138 445027077 667255707 815534753 890054154 1334511414 1631069506 2446604259 4893208518 5263906133 7339812777 10527812266 14679625554 15791718399 31583436798 47375155197 57902967463 94750310394 115805934926 173708902389 347417804778 521126707167 1042253414334