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354141021400 = 23528994121143
BaseRepresentation
bin1010010011101000111…
…00110010010011011000
31020212002200210212210221
411021310130302103120
521300240100141100
6430405023045424
734404642004645
oct5116434622330
91225080725727
10354141021400
11127210412a91
1258775140874
132751a79724a
14131d7814dcc
15932a88301a
hex52747324d8

354141021400 has 96 divisors (see below), whose sum is σ = 833553568800. Its totient is φ = 139909299200.

The previous prime is 354141021391. The next prime is 354141021407. The reversal of 354141021400 is 4120141453.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354141021407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16739229 + ... + 16760371.

It is an arithmetic number, because the mean of its divisors is an integer number (8682849675).

Almost surely, 2354141021400 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 354141021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416776784400).

354141021400 is an abundant number, since it is smaller than the sum of its proper divisors (479412547400).

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

354141021400 is a wasteful number, since it uses less digits than its factorization.

354141021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22189 (or 22180 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 354141021400 its reverse (4120141453), we get a palindrome (358261162853).

The spelling of 354141021400 in words is "three hundred fifty-four billion, one hundred forty-one million, twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 890 941 1780 1882 2225 3560 3764 4450 4705 7528 8900 9410 17800 18820 21143 23525 37640 42286 47050 83749 84572 94100 105715 167498 169144 188200 211430 334996 418745 422860 528575 669992 837490 845720 1057150 1674980 1881727 2093725 2114300 3349960 3763454 4187450 4228600 7526908 8374900 9408635 15053816 16749800 18817270 19895563 37634540 39791126 47043175 75269080 79582252 94086350 99477815 159164504 188172700 198955630 376345400 397911260 497389075 795822520 994778150 1770705107 1989556300 3541410214 3979112600 7082820428 8853525535 14165640856 17707051070 35414102140 44267627675 70828204280 88535255350 177070510700 354141021400