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13214414040 = 2335702715671
BaseRepresentation
bin11000100111010001…
…11111010011011000
31021002221020210020020
430103220333103120
5204030342222130
610023130430440
7645315444312
oct142350772330
937087223206
1013214414040
115671212943
122689592420
131327934a09
148d50207b2
155251a6e10
hex313a3f4d8

13214414040 has 64 divisors (see below), whose sum is σ = 39651413760. Its totient is φ = 3523117440.

The previous prime is 13214414027. The next prime is 13214414093. The reversal of 13214414040 is 4041441231.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13214414040.

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, 835405 + ... + 851075.

It is an arithmetic number, because the mean of its divisors is an integer number (619553340).

Almost surely, 213214414040 is an apocalyptic number.

13214414040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13214414040 is an abundant number, since it is smaller than the sum of its proper divisors (26436999720).

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

13214414040 is a wasteful number, since it uses less digits than its factorization.

13214414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22712 (or 22708 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 13214414040 its reverse (4041441231), we get a palindrome (17255855271).

The spelling of 13214414040 in words is "thirteen billion, two hundred fourteen million, four hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 7027 14054 15671 21081 28108 31342 35135 42162 47013 56216 62684 70270 78355 84324 94026 105405 125368 140540 156710 168648 188052 210810 235065 281080 313420 376104 421620 470130 626840 843240 940260 1880520 110120117 220240234 330360351 440480468 550600585 660720702 880960936 1101201170 1321441404 1651801755 2202402340 2642882808 3303603510 4404804680 6607207020 13214414040