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11014434340 = 22571341147607
BaseRepresentation
bin10100100001000001…
…01110111000100100
31001102121121020102121
422100200232320210
5140024143344330
65020541315324
7536643101320
oct122040567044
931377536377
1011014434340
1147423a75a8
122174865b44
131066c0c690
14766b8a980
15446e9117a
hex29082ee24

11014434340 has 96 divisors (see below), whose sum is σ = 29162617344. Its totient is φ = 3400842240.

The previous prime is 11014434329. The next prime is 11014434341. The reversal of 11014434340 is 4343441011.

It is not an unprimeable number, because it can be changed into a prime (11014434341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 817 + ... + 148423.

It is an arithmetic number, because the mean of its divisors is an integer number (303777264).

Almost surely, 211014434340 is an apocalyptic number.

11014434340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11014434340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14581308672).

11014434340 is an abundant number, since it is smaller than the sum of its proper divisors (18148183004).

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

11014434340 is a wasteful number, since it uses less digits than its factorization.

11014434340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147677 (or 147675 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 11014434340 its reverse (4343441011), we get a palindrome (15357875351).

The spelling of 11014434340 in words is "eleven billion, fourteen million, four hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 41 52 65 70 82 91 130 140 164 182 205 260 287 364 410 455 533 574 820 910 1066 1148 1435 1820 2132 2665 2870 3731 5330 5740 7462 10660 14924 18655 37310 74620 147607 295214 590428 738035 1033249 1476070 1918891 2066498 2952140 3837782 4132996 5166245 6051887 7675564 9594455 10332490 12103774 13432237 19188910 20664980 24207548 26864474 30259435 38377820 42363209 53728948 60518870 67161185 78674531 84726418 121037740 134322370 157349062 169452836 211816045 268644740 314698124 393372655 423632090 550721717 786745310 847264180 1101443434 1573490620 2202886868 2753608585 5507217170 11014434340