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13411003440 = 2435104953269
BaseRepresentation
bin11000111110101101…
…11010110000110000
31021121122011120012010
430133112322300300
5204431204102230
610054432202520
7653223435252
oct143726726060
937548146163
1013411003440
11576218641a
122723399440
1313595967c3
14913195cd2
1553758a9b0
hex31f5bac30

13411003440 has 80 divisors (see below), whose sum is σ = 41614524000. Its totient is φ = 3572791296.

The previous prime is 13411003439. The next prime is 13411003447. The reversal of 13411003440 is 4430011431.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (13411003447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225126 + ... + 278394.

It is an arithmetic number, because the mean of its divisors is an integer number (520181550).

Almost surely, 213411003440 is an apocalyptic number.

13411003440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13411003440 is an abundant number, since it is smaller than the sum of its proper divisors (28203520560).

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

13411003440 is a wasteful number, since it uses less digits than its factorization.

13411003440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54334 (or 54328 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13411003440 its reverse (4430011431), we get a palindrome (17841014871).

The spelling of 13411003440 in words is "thirteen billion, four hundred eleven million, three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1049 2098 3147 4196 5245 6294 8392 10490 12588 15735 16784 20980 25176 31470 41960 50352 53269 62940 83920 106538 125880 159807 213076 251760 266345 319614 426152 532690 639228 799035 852304 1065380 1278456 1598070 2130760 2556912 3196140 4261520 6392280 12784560 55879181 111758362 167637543 223516724 279395905 335275086 447033448 558791810 670550172 838187715 894066896 1117583620 1341100344 1676375430 2235167240 2682200688 3352750860 4470334480 6705501720 13411003440