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400122133431 = 3236139459823
BaseRepresentation
bin1011101001010010010…
…00110011101110110111
31102020210012101101120020
411310221020303232313
523023422231232211
6503451421540223
740623254006106
oct5645110635667
91366705341506
10400122133431
11144766571019
1265668114673
132b967a31347
141551a4b603d
15a61c4c1306
hex5d29233bb7

400122133431 has 16 divisors (see below), whose sum is σ = 557599865856. Its totient is φ = 254734086816.

The previous prime is 400122133351. The next prime is 400122133451. The reversal of 400122133431 is 134331221004.

It is a happy number.

It is not a de Polignac number, because 400122133431 - 29 = 400122132919 is a prime.

It is a super-4 number, since 4×4001221334314 (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400122133451) 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, 4687615 + ... + 4772208.

It is an arithmetic number, because the mean of its divisors is an integer number (34849991616).

Almost surely, 2400122133431 is an apocalyptic number.

400122133431 is a deficient number, since it is larger than the sum of its proper divisors (157477732425).

400122133431 is a wasteful number, since it uses less digits than its factorization.

400122133431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9460462.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 400122133431 its reverse (134331221004), we get a palindrome (534453354435).

The spelling of 400122133431 in words is "four hundred billion, one hundred twenty-two million, one hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 3 23 69 613 1839 14099 42297 9459823 28379469 217575929 652727787 5798871499 17396614497 133374044477 400122133431