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112439991384 = 233272231000427
BaseRepresentation
bin110100010110111110…
…0100001110001011000
3101202020010200101022100
41220231330201301120
53320234114211014
6123353151123400
711060240104650
oct1505574416130
9352203611270
10112439991384
114375a497816
121995bb13560
13a7abb784a6
145629293360
152dd141d009
hex1a2df21c58

112439991384 has 96 divisors (see below), whose sum is σ = 349589560320. Its totient is φ = 31981618368.

The previous prime is 112439991361. The next prime is 112439991413. The reversal of 112439991384 is 483199934211.

112439991384 is a `hidden beast` number, since 11 + 243 + 9 + 9 + 9 + 1 + 384 = 666.

It is a super-3 number, since 3×1124399913843 (a number of 34 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 112439991384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 387822 + ... + 612605.

It is an arithmetic number, because the mean of its divisors is an integer number (3641557920).

Almost surely, 2112439991384 is an apocalyptic number.

112439991384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

112439991384 is an abundant number, since it is smaller than the sum of its proper divisors (237149568936).

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

112439991384 is a wasteful number, since it uses less digits than its factorization.

112439991384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000669 (or 1000662 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 54.

The spelling of 112439991384 in words is "one hundred twelve billion, four hundred thirty-nine million, nine hundred ninety-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 223 252 446 504 669 892 1338 1561 1784 2007 2676 3122 4014 4683 5352 6244 8028 9366 12488 14049 16056 18732 28098 37464 56196 112392 1000427 2000854 3001281 4001708 6002562 7002989 8003416 9003843 12005124 14005978 18007686 21008967 24010248 28011956 36015372 42017934 56023912 63026901 72030744 84035868 126053802 168071736 223095221 252107604 446190442 504215208 669285663 892380884 1338571326 1561666547 1784761768 2007856989 2677142652 3123333094 4015713978 4684999641 5354285304 6246666188 8031427956 9369999282 12493332376 14054998923 16062855912 18739998564 28109997846 37479997128 56219995692 112439991384