Search a number
-
+
13354311040 = 27572425839
BaseRepresentation
bin11000110111111101…
…01001110110000000
31021110200111021211121
430123332221312000
5204322200423130
610045045122024
7651634525300
oct143376516600
937420437747
1013354311040
1157331845a4
1227083b9314
13134a9071c5
14909839600
155325dcd7a
hex31bfa9d80

13354311040 has 96 divisors (see below), whose sum is σ = 37137506400. Its totient is φ = 4578610176.

The previous prime is 13354311031. The next prime is 13354311059. The reversal of 13354311040 is 4011345331.

It is a junction number, because it is equal to n+sod(n) for n = 13354310996 and 13354311014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181560 + ... + 244279.

It is an arithmetic number, because the mean of its divisors is an integer number (386849025).

Almost surely, 213354311040 is an apocalyptic number.

13354311040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13354311040 is an abundant number, since it is smaller than the sum of its proper divisors (23783195360).

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

13354311040 is an equidigital number, since it uses as much as digits as its factorization.

13354311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425872 (or 425853 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 13354311040 its reverse (4011345331), we get a palindrome (17365656371).

The spelling of 13354311040 in words is "thirteen billion, three hundred fifty-four million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 392 448 490 560 640 784 896 980 1120 1568 1960 2240 3136 3920 4480 6272 7840 15680 31360 425839 851678 1703356 2129195 2980873 3406712 4258390 5961746 6813424 8516780 11923492 13626848 14904365 17033560 20866111 23846984 27253696 29808730 34067120 41732222 47693968 54507392 59617460 68134240 83464444 95387936 104330555 119234920 136268480 166928888 190775872 208661110 238469840 272536960 333857776 381551744 417322220 476939680 667715552 834644440 953879360 1335431104 1669288880 1907758720 2670862208 3338577760 6677155520 13354311040