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10434141377 = 1137211121501
BaseRepresentation
bin10011011011110110…
…00101110011000001
3222221011200022010122
421231323011303001
5132332120011002
64443211510025
7516365511152
oct115573056301
928834608118
1010434141377
114474889940
122032458315
13ca3923a6a
1470da93929
154110676a2
hex26dec5cc1

10434141377 has 16 divisors (see below), whose sum is σ = 11745841344. Its totient is φ = 9185400000.

The previous prime is 10434141371. The next prime is 10434141379. The reversal of 10434141377 is 77314143401.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10434141377 - 214 = 10434124993 is a prime.

It is a super-2 number, since 2×104341413772 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10434141371) 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, 25127 + ... + 146627.

It is an arithmetic number, because the mean of its divisors is an integer number (734115084).

Almost surely, 210434141377 is an apocalyptic number.

It is an amenable number.

10434141377 is a deficient number, since it is larger than the sum of its proper divisors (1311699967).

10434141377 is a wasteful number, since it uses less digits than its factorization.

10434141377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121760.

The product of its (nonzero) digits is 28224, while the sum is 35.

Adding to 10434141377 its reverse (77314143401), we get a palindrome (87748284778).

The spelling of 10434141377 in words is "ten billion, four hundred thirty-four million, one hundred forty-one thousand, three hundred seventy-seven".

Divisors: 1 11 37 211 407 2321 7807 85877 121501 1336511 4495537 25636711 49450907 282003821 948558307 10434141377