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115424410640 = 24571123398011
BaseRepresentation
bin110101101111111010…
…1001011110000010000
3102000221010101120212212
41223133311023300100
53342342122120030
6125005241411252
711224216205510
oct1533765136020
9360833346785
10115424410640
1144a51086110
121a453499b28
13ab66265c46
14582d7a1840
153008435595
hex1adfd4bc10

115424410640 has 160 divisors (see below), whose sum is σ = 334765716480. Its totient is φ = 35956569600.

The previous prime is 115424410627. The next prime is 115424410643. The reversal of 115424410640 is 46014424511.

115424410640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 115424410597 and 115424410606.

It is not an unprimeable number, because it can be changed into a prime (115424410643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14404235 + ... + 14412245.

It is an arithmetic number, because the mean of its divisors is an integer number (2092285728).

Almost surely, 2115424410640 is an apocalyptic number.

115424410640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115424410640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167382858240).

115424410640 is an abundant number, since it is smaller than the sum of its proper divisors (219341305840).

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

115424410640 is a wasteful number, since it uses less digits than its factorization.

115424410640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10381 (or 10375 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The spelling of 115424410640 in words is "one hundred fifteen billion, four hundred twenty-four million, four hundred ten thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 2339 3080 4678 6160 8011 9356 11695 16022 16373 18712 23390 25729 32044 32746 37424 40055 46780 51458 56077 64088 65492 80110 81865 88121 93560 102916 112154 128176 128645 130984 160220 163730 176242 180103 187120 205832 224308 257290 261968 280385 320440 327460 352484 360206 411664 440605 448616 514580 560770 616847 640880 654920 704968 720412 881210 897232 900515 1029160 1121540 1233694 1309840 1409936 1440824 1762420 1801030 2058320 2243080 2467388 2881648 3084235 3524840 3602060 4486160 4934776 6168470 7049680 7204120 9869552 12336940 14408240 18737729 24673880 37475458 49347760 74950916 93688645 131164103 149901832 187377290 206115019 262328206 299803664 374754580 412230038 524656412 655820515 749509160 824460076 1030575095 1049312824 1311641030 1442805133 1499018320 1648920152 2061150190 2098625648 2623282060 2885610266 3297840304 4122300380 5246564120 5771220532 7214025665 8244600760 10493128240 11542441064 14428051330 16489201520 23084882128 28856102660 57712205320 115424410640