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11406341424 = 2432312781353
BaseRepresentation
bin10101001111101111…
…01111010100110000
31002102221001011212210
422213313233110300
5141330010411144
65123501252120
7552442205502
oct124767572460
932387034783
1011406341424
114923645155
122263b64040
1310ca17946a
147a2c45d72
1546b5a6ab9
hex2a7def530

11406341424 has 80 divisors (see below), whose sum is σ = 30990016512. Its totient is φ = 3608123904.

The previous prime is 11406341413. The next prime is 11406341431. The reversal of 11406341424 is 42414360411.

It is a junction number, because it is equal to n+sod(n) for n = 11406341391 and 11406341400.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99532 + ... + 180884.

Almost surely, 211406341424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11406341424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15495008256).

11406341424 is an abundant number, since it is smaller than the sum of its proper divisors (19583675088).

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

11406341424 is a wasteful number, since it uses less digits than its factorization.

11406341424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81514 (or 81508 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 11406341424 in words is "eleven billion, four hundred six million, three hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 127 138 184 254 276 368 381 508 552 762 1016 1104 1524 2032 2921 3048 5842 6096 8763 11684 17526 23368 35052 46736 70104 81353 140208 162706 244059 325412 488118 650824 976236 1301648 1871119 1952472 3742238 3904944 5613357 7484476 10331831 11226714 14968952 20663662 22453428 29937904 30995493 41327324 44906856 61990986 82654648 89813712 123981972 165309296 237632113 247963944 475264226 495927888 712896339 950528452 1425792678 1901056904 2851585356 3802113808 5703170712 11406341424