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40401442377 = 3279173503653
BaseRepresentation
bin100101101000000111…
…010001011001001001
310212021122102220220200
4211220013101121021
51130220232124002
630320555042413
72630120410512
oct455007213111
9125248386820
1040401442377
11161526196aa
1279b6440409
133a6b2aa52a
141d53a29a09
1510b6d82b1c
hex9681d1649

40401442377 has 48 divisors (see below), whose sum is σ = 59647311360. Its totient is φ = 26346662784.

The previous prime is 40401442369. The next prime is 40401442397. The reversal of 40401442377 is 77324410404.

It is a happy number.

40401442377 is a `hidden beast` number, since 404 + 0 + 14 + 4 + 237 + 7 = 666.

It is not a de Polignac number, because 40401442377 - 23 = 40401442369 is a prime.

It is a super-2 number, since 2×404014423772 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40401442397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 61870183 + ... + 61870835.

It is an arithmetic number, because the mean of its divisors is an integer number (1242652320).

Almost surely, 240401442377 is an apocalyptic number.

It is an amenable number.

40401442377 is a deficient number, since it is larger than the sum of its proper divisors (19245868983).

40401442377 is a wasteful number, since it uses less digits than its factorization.

40401442377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The spelling of 40401442377 in words is "forty billion, four hundred one million, four hundred forty-two thousand, three hundred seventy-seven".

Divisors: 1 3 9 79 173 237 503 519 653 711 1509 1557 1959 4527 5877 13667 39737 41001 51587 87019 112969 119211 123003 154761 261057 328459 338907 357633 464283 783171 985377 1016721 2956131 6874501 8924551 20623503 25948261 26773653 56823407 61870509 77844783 80320959 170470221 233534349 511410663 4489049153 13467147459 40401442377