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11402314434 = 234726937379
BaseRepresentation
bin10101001111010000…
…11000001011000010
31002102122110120220000
422213220120023002
5141322443030214
65123235100430
7552363034140
oct124750301302
932378416800
1011402314434
114921344665
122262741716
1310c9399524
147a24b8590
1546b05d809
hex2a7a182c2

11402314434 has 80 divisors (see below), whose sum is σ = 29308910400. Its totient is φ = 3245606496.

The previous prime is 11402314411. The next prime is 11402314439. The reversal of 11402314434 is 43441320411.

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

It is a junction number, because it is equal to n+sod(n) for n = 11402314398 and 11402314407.

It is not an unprimeable number, because it can be changed into a prime (11402314439) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 286357 + ... + 323735.

It is an arithmetic number, because the mean of its divisors is an integer number (366361380).

Almost surely, 211402314434 is an apocalyptic number.

11402314434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11402314434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14654455200).

11402314434 is an abundant number, since it is smaller than the sum of its proper divisors (17906595966).

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

11402314434 is a wasteful number, since it uses less digits than its factorization.

11402314434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37669 (or 37660 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11402314434 its reverse (43441320411), we get a palindrome (54843634845).

The spelling of 11402314434 in words is "eleven billion, four hundred two million, three hundred fourteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 269 378 538 567 807 1134 1614 1883 2421 3766 4842 5649 7263 11298 14526 16947 21789 33894 37379 43578 50841 74758 101682 112137 152523 224274 261653 305046 336411 523306 672822 784959 1009233 1569918 2018466 2354877 3027699 4709754 6055398 7064631 10054951 14129262 20109902 21193893 30164853 42387786 60329706 70384657 90494559 140769314 180989118 211153971 271483677 422307942 542967354 633461913 814451031 1266923826 1628902062 1900385739 3800771478 5701157217 11402314434