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405226149441 = 33736371003763
BaseRepresentation
bin1011110010110010101…
…11000101011001000001
31102201221220111021021020
411321121113011121001
523114400343240231
6510054110420053
741163611303211
oct5713127053101
91381856437236
10405226149441
11146945662873
1266651501629
132c29c2ab669
14158822d2241
15a81a622396
hex5e595c5641

405226149441 has 16 divisors (see below), whose sum is σ = 555057401664. Its totient is φ = 262776861504.

The previous prime is 405226149437. The next prime is 405226149479. The reversal of 405226149441 is 144941622504.

It is not a de Polignac number, because 405226149441 - 22 = 405226149437 is a prime.

It is a super-2 number, since 2×4052261494412 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 405226149393 and 405226149402.

It is not an unprimeable number, because it can be changed into a prime (405226149431) 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 15 ways as a sum of consecutive naturals, for example, 98175 + ... + 905588.

It is an arithmetic number, because the mean of its divisors is an integer number (34691087604).

Almost surely, 2405226149441 is an apocalyptic number.

It is an amenable number.

405226149441 is a deficient number, since it is larger than the sum of its proper divisors (149831252223).

405226149441 is a wasteful number, since it uses less digits than its factorization.

405226149441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1007440.

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 405226149441 in words is "four hundred five billion, two hundred twenty-six million, one hundred forty-nine thousand, four hundred forty-one".

Divisors: 1 3 37 111 3637 10911 134569 403707 1003763 3011289 37139231 111417693 3650686031 10952058093 135075383147 405226149441