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40980738969 = 348322712
BaseRepresentation
bin100110001010101001…
…000111001110011001
310220210000111020110000
4212022221013032121
51132412032121334
630454251243213
72650353351042
oct461251071631
9126700436400
1040980738969
111641a616815
127b38449509
133b31307791
141daa9438c9
1510ecb61299
hex98aa47399

40980738969 has 45 divisors (see below), whose sum is σ = 62194090629. Its totient is φ = 26891731080.

The previous prime is 40980738961. The next prime is 40980738983. The reversal of 40980738969 is 96983708904.

The square root of 40980738969 is 202437.

It is a perfect power (a square), and thus also a powerful number.

40980738969 is a `hidden beast` number, since 409 + 80 + 73 + 89 + 6 + 9 = 666.

It is not a de Polignac number, because 40980738969 - 23 = 40980738961 is a prime.

It is a super-2 number, since 2×409807389692 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40980738961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 151220304 + ... + 151220574.

Almost surely, 240980738969 is an apocalyptic number.

40980738969 is the 202437-th square number.

40980738969 is the 101219-th centered octagonal number.

It is an amenable number.

40980738969 is a deficient number, since it is larger than the sum of its proper divisors (21213351660).

40980738969 is an frugal number, since it uses more digits than its factorization.

40980738969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 40980738969 in words is "forty billion, nine hundred eighty million, seven hundred thirty-eight thousand, nine hundred sixty-nine".

Divisors: 1 3 9 27 81 83 249 271 747 813 2241 2439 6723 6889 7317 20667 21951 22493 62001 67479 73441 186003 202437 220323 558009 607311 660969 1821933 1866919 1982907 5600757 5948721 6095603 16802271 18286809 50406813 54860427 151220439 164581281 493743843 505935049 1517805147 4553415441 13660246323 40980738969