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13414259340 = 223458280407
BaseRepresentation
bin11000111111000110…
…10101101010001100
31021121212021222110000
430133203111222030
5204433022244330
610055030044300
7653263215546
oct143743255214
937555258400
1013414259340
115763aaa649
1227244a9690
13135a166781
149137a2696
155379d0560
hex31f8d5a8c

13414259340 has 60 divisors (see below), whose sum is σ = 42081033456. Its totient is φ = 3577135392.

The previous prime is 13414259297. The next prime is 13414259359. The reversal of 13414259340 is 4395241431.

13414259340 is a `hidden beast` number, since 13 + 4 + 14 + 2 + 593 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13414259295 and 13414259304.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4138584 + ... + 4141823.

Almost surely, 213414259340 is an apocalyptic number.

13414259340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13414259340 is an abundant number, since it is smaller than the sum of its proper divisors (28666774116).

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

13414259340 is a wasteful number, since it uses less digits than its factorization.

13414259340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8280428 (or 8280417 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13414259340 in words is "thirteen billion, four hundred fourteen million, two hundred fifty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 8280407 16560814 24841221 33121628 41402035 49682442 74523663 82804070 99364884 124206105 149047326 165608140 223570989 248412210 298094652 372618315 447141978 496824420 670712967 745236630 894283956 1117854945 1341425934 1490473260 2235709890 2682851868 3353564835 4471419780 6707129670 13414259340