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13914139040 = 255611425629
BaseRepresentation
bin11001111010101100…
…01110100110100000
31022220200220111110222
430331112032212200
5211444004422130
610220404142212
71001543142014
oct147526164640
938820814428
1013914139040
1159a019466a
122843997968
1314098a8b89
1495dd26544
15566822ce5
hex33d58e9a0

13914139040 has 48 divisors (see below), whose sum is σ = 33411064680. Its totient is φ = 5474411520.

The previous prime is 13914139037. The next prime is 13914139051. The reversal of 13914139040 is 4093141931.

13914139040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3123915664 + 10790223376 = 55892^2 + 103876^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 703055 + ... + 722574.

Almost surely, 213914139040 is an apocalyptic number.

13914139040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13914139040 is an abundant number, since it is smaller than the sum of its proper divisors (19496925640).

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

13914139040 is a wasteful number, since it uses less digits than its factorization.

13914139040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425705 (or 1425697 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 35.

The spelling of 13914139040 in words is "thirteen billion, nine hundred fourteen million, one hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 61 80 122 160 244 305 488 610 976 1220 1952 2440 4880 9760 1425629 2851258 5702516 7128145 11405032 14256290 22810064 28512580 45620128 57025160 86963369 114050320 173926738 228100640 347853476 434816845 695706952 869633690 1391413904 1739267380 2782827808 3478534760 6957069520 13914139040