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355455100240 = 24543244142331
BaseRepresentation
bin1010010110000101100…
…01100110010101010000
31020222111021111000002121
411023002301212111100
521310433001201430
6431143244224024
734452336333412
oct5130261462520
91228437430077
10355455100240
11127825156959
1258a8123b014
1327699ac14a6
14132c015c9b2
1593a5e04a7a
hex52c2c66550

355455100240 has 80 divisors (see below), whose sum is σ = 846018904896. Its totient is φ = 138815308800.

The previous prime is 355455100229. The next prime is 355455100241. The reversal of 355455100240 is 42001554553.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 355455100196 and 355455100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (355455100241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8375875 + ... + 8418205.

Almost surely, 2355455100240 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 355455100240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423009452448).

355455100240 is an abundant number, since it is smaller than the sum of its proper divisors (490563804656).

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

355455100240 is a wasteful number, since it uses less digits than its factorization.

355455100240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44828 (or 44822 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 34.

Adding to 355455100240 its reverse (42001554553), we get a palindrome (397456654793).

The spelling of 355455100240 in words is "three hundred fifty-five billion, four hundred fifty-five million, one hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1720 2441 3440 4882 9764 12205 19528 24410 39056 42331 48820 84662 97640 104963 169324 195280 209926 211655 338648 419852 423310 524815 677296 839704 846620 1049630 1679408 1693240 1820233 2099260 3386480 3640466 4198520 7280932 8397040 9101165 14561864 18202330 29123728 36404660 72809320 103329971 145618640 206659942 413319884 516649855 826639768 1033299710 1653279536 2066599420 4133198840 4443188753 8266397680 8886377506 17772755012 22215943765 35545510024 44431887530 71091020048 88863775060 177727550120 355455100240