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13891231440 = 2432531622367
BaseRepresentation
bin11001110111111101…
…10101111011010000
31022212002210200011100
430323332311323100
5211422123401230
610214225144400
71001144343012
oct147376657320
938762720140
1013891231440
115989268869
12283818b100
131404c18198
1495ac821b2
155647ea660
hex33bfb5ed0

13891231440 has 120 divisors (see below), whose sum is σ = 48156346368. Its totient is φ = 3584828160.

The previous prime is 13891231439. The next prime is 13891231441. The reversal of 13891231440 is 4413219831.

13891231440 is a `hidden beast` number, since 1 + 389 + 1 + 231 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (13891231439) and next prime (13891231441).

It is a tau number, because it is divible by the number of its divisors (120).

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 = 13891231395 and 13891231404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13891231441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288864 + ... + 333503.

Almost surely, 213891231440 is an apocalyptic number.

13891231440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13891231440 is an abundant number, since it is smaller than the sum of its proper divisors (34265114928).

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

13891231440 is a wasteful number, since it uses less digits than its factorization.

13891231440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622417 (or 622408 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13891231440 in words is "thirteen billion, eight hundred ninety-one million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 36 40 45 48 60 62 72 80 90 93 120 124 144 155 180 186 240 248 279 310 360 372 465 496 558 620 720 744 930 1116 1240 1395 1488 1860 2232 2480 2790 3720 4464 5580 7440 11160 22320 622367 1244734 1867101 2489468 3111835 3734202 4978936 5601303 6223670 7468404 9335505 9957872 11202606 12447340 14936808 18671010 19293377 22405212 24894680 28006515 29873616 37342020 38586754 44810424 49789360 56013030 57880131 74684040 77173508 89620848 96466885 112026060 115760262 149368080 154347016 173640393 192933770 224052120 231520524 289400655 308694032 347280786 385867540 448104240 463041048 578801310 694561572 771735080 868201965 926082096 1157602620 1389123144 1543470160 1736403930 2315205240 2778246288 3472807860 4630410480 6945615720 13891231440