Search a number
-
+
11335440252344 = 2313151831186851
BaseRepresentation
bin1010010011110011110011…
…1000111011110110111000
31111010122202022200001200012
42210330330320323312320
52441204440201033334
640035232424201052
72246646530242565
oct244747470736670
944118668601605
1011335440252344
11368037356535a
121330a74009188
13642c0973c580
142b28d146586c
15149cda3ad9ce
hexa4f3ce3bdb8

11335440252344 has 64 divisors (see below), whose sum is σ = 23043489262080. Its totient is φ = 5196409200000.

The previous prime is 11335440252307. The next prime is 11335440252391. The reversal of 11335440252344 is 44325204453311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130472519 + ... + 130559369.

It is an arithmetic number, because the mean of its divisors is an integer number (360054519720).

Almost surely, 211335440252344 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 11335440252344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11521744631040).

11335440252344 is an abundant number, since it is smaller than the sum of its proper divisors (11708049009736).

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

11335440252344 is a wasteful number, since it uses less digits than its factorization.

11335440252344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95332 (or 95328 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 41.

The spelling of 11335440252344 in words is "eleven trillion, three hundred thirty-five billion, four hundred forty million, two hundred fifty-two thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 26 52 104 151 302 604 1208 1963 3926 7852 8311 15704 16622 33244 66488 86851 108043 173702 216086 347404 432172 694808 864344 1129063 1254961 2258126 2509922 4516252 5019844 9032504 10039688 13114501 16314493 26229002 32628986 52458004 65257972 104916008 130515944 170488513 340977026 681954052 721818661 1363908104 1443637322 2887274644 5774549288 9383642593 18767285186 37534570372 75069140744 108994617811 217989235622 435978471244 871956942488 1416930031543 2833860063086 5667720126172 11335440252344