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354223411542 = 2327111322952147
BaseRepresentation
bin1010010011110010101…
…11000101000101010110
31020212022102211201211200
411021321113011011112
521300422143132132
6430421125013330
734406662214310
oct5117127050526
91225272751750
10354223411542
11127252976a10
1258798854246
1327531883500
14132047407b0
159332c09d7c
hex52795c5156

354223411542 has 288 divisors, whose sum is σ = 1071879194880. Its totient is φ = 81998542080.

The previous prime is 354223411541. The next prime is 354223411589. The reversal of 354223411542 is 245114322453.

It is a happy number.

354223411542 is a `hidden beast` number, since 3 + 54 + 2 + 23 + 41 + 1 + 542 = 666.

It is a super-4 number, since 4×3542234115424 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a junction number, because it is equal to n+sod(n) for n = 354223411497 and 354223411506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354223411541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6766713 + ... + 6818859.

It is an arithmetic number, because the mean of its divisors is an integer number (3721802760).

Almost surely, 2354223411542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 354223411542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535939597440).

354223411542 is an abundant number, since it is smaller than the sum of its proper divisors (717655783338).

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

354223411542 is a wasteful number, since it uses less digits than its factorization.

354223411542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52228 (or 52212 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 354223411542 its reverse (245114322453), we get a palindrome (599337733995).

The spelling of 354223411542 in words is "three hundred fifty-four billion, two hundred twenty-three million, four hundred eleven thousand, five hundred forty-two".