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402441420033 = 3512737334961
BaseRepresentation
bin1011101101100110110…
…00001011110100000001
31102110202211112100200000
411312303120023310001
523043200000420113
6504513512150213
741034605425452
oct5666330136401
91373684470600
10402441420033
11145746765404
1265bb4998369
132bc47399c93
141569a525129
15a705e02373
hex5db360bd01

402441420033 has 48 divisors (see below), whose sum is σ = 609227114496. Its totient is φ = 265460509440.

The previous prime is 402441420001. The next prime is 402441420037. The reversal of 402441420033 is 330024144204.

It is a happy number.

402441420033 is a `hidden beast` number, since 40 + 2 + 4 + 414 + 200 + 3 + 3 = 666.

It is not a de Polignac number, because 402441420033 - 25 = 402441420001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 402441419979 and 402441420006.

It is not an unprimeable number, because it can be changed into a prime (402441420037) 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 47 ways as a sum of consecutive naturals, for example, 11493673 + ... + 11528633.

It is an arithmetic number, because the mean of its divisors is an integer number (12692231552).

Almost surely, 2402441420033 is an apocalyptic number.

It is an amenable number.

402441420033 is a deficient number, since it is larger than the sum of its proper divisors (206785694463).

402441420033 is a wasteful number, since it uses less digits than its factorization.

402441420033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35476 (or 35464 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 402441420033 its reverse (330024144204), we get a palindrome (732465564237).

The spelling of 402441420033 in words is "four hundred two billion, four hundred forty-one million, four hundred twenty thousand, thirty-three".

Divisors: 1 3 9 27 81 127 243 373 381 1119 1143 3357 3429 10071 10287 30213 30861 34961 47371 90639 104883 142113 314649 426339 943947 1279017 2831841 3837051 4440047 8495523 11511153 13040453 13320141 39121359 39960423 117364077 119881269 352092231 359643807 1056276693 1078931421 1656137531 3168830079 4968412593 14905237779 44715713337 134147140011 402441420033