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40738981921 = 1125923112
BaseRepresentation
bin100101111100001110…
…111000100000100001
310220011011120201010021
4211330032320200201
51131413134410141
630414253433441
72641356430021
oct457416704041
9126134521107
1040738981921
1116306103100
127a8b49b881
133ac31bcc81
141d867b1a81
1510d68096d1
hex97c3b8821

40738981921 has 27 divisors (see below), whose sum is σ = 45697982449. Its totient is φ = 36290652200.

The previous prime is 40738981901. The next prime is 40738981931. The reversal of 40738981921 is 12918983704.

The square root of 40738981921 is 201839.

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

It is not a de Polignac number, because 40738981921 - 211 = 40738979873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40738981901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 130993356 + ... + 130993666.

Almost surely, 240738981921 is an apocalyptic number.

40738981921 is the 201839-th square number.

40738981921 is the 100920-th centered octagonal number.

It is an amenable number.

40738981921 is a deficient number, since it is larger than the sum of its proper divisors (4959000528).

40738981921 is an frugal number, since it uses more digits than its factorization.

40738981921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 52.

The spelling of 40738981921 in words is "forty billion, seven hundred thirty-eight million, nine hundred eighty-one thousand, nine hundred twenty-one".

Divisors: 1 11 59 121 311 649 3421 3481 7139 18349 37631 38291 96721 201839 421201 1063931 1082591 2220229 5706539 11703241 11908501 62771929 130993511 336685801 690491219 3703543811 40738981921