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13241040224 = 253743283919
BaseRepresentation
bin11000101010011101…
…00011110101100000
31021011210100112111012
430111032203311200
5204104201241344
610025521240052
7646060661546
oct142516436540
937153315435
1013241040224
115685249555
122696493028
1313302c8159
148d8791d96
155276b629e
hex3153a3d60

13241040224 has 96 divisors (see below), whose sum is σ = 27522190080. Its totient is φ = 6262728192.

The previous prime is 13241040221. The next prime is 13241040227. The reversal of 13241040224 is 42204014231.

It is an interprime number because it is at equal distance from previous prime (13241040221) and next prime (13241040227).

It is a self number, because there is not a number n which added to its sum of digits gives 13241040224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13241040221) 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, 14407637 + ... + 14408555.

It is an arithmetic number, because the mean of its divisors is an integer number (286689480).

Almost surely, 213241040224 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 13241040224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13761095040).

13241040224 is an abundant number, since it is smaller than the sum of its proper divisors (14281149856).

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

13241040224 is a wasteful number, since it uses less digits than its factorization.

13241040224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1292 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 13241040224 its reverse (42204014231), we get a palindrome (55445054455).

The spelling of 13241040224 in words is "thirteen billion, two hundred forty-one million, forty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 37 43 74 86 148 172 283 296 344 566 592 688 919 1132 1184 1376 1591 1838 2264 3182 3676 4528 6364 7352 9056 10471 12169 12728 14704 20942 24338 25456 29408 34003 39517 41884 48676 50912 68006 79034 83768 97352 136012 158068 167536 194704 260077 272024 316136 335072 389408 450253 520154 544048 632272 900506 1040308 1088096 1264544 1462129 1801012 2080616 2924258 3602024 4161232 5848516 7204048 8322464 9622849 11183311 11697032 14408096 19245698 22366622 23394064 38491396 44733244 46788128 76982792 89466488 153965584 178932976 307931168 357865952 413782507 827565014 1655130028 3310260056 6620520112 13241040224