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40219901401 = 1724722512
BaseRepresentation
bin100101011101010010…
…101111110111011001
310211210222211200111211
4211131102233313121
51124332243321101
630250552023121
72622454343521
oct453522576731
9124728750454
1040219901401
111606a0a4239
127965691aa1
133a3c7b7134
141d37890681
1510a5e72c51
hex95d4afdd9

40219901401 has 27 divisors (see below), whose sum is σ = 43827940447. Its totient is φ = 36901016000.

The previous prime is 40219901341. The next prime is 40219901417. The reversal of 40219901401 is 10410991204.

The square root of 40219901401 is 200549.

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

It can be written as a sum of positive squares in only one way, i.e., 31313072025 + 8906829376 = 176955^2 + 94376^2 .

It is not a de Polignac number, because 40219901401 - 217 = 40219770329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (40219901471) 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, 160238526 + ... + 160238776.

Almost surely, 240219901401 is an apocalyptic number.

40219901401 is the 200549-th square number.

40219901401 is the 100275-th centered octagonal number.

It is an amenable number.

40219901401 is a deficient number, since it is larger than the sum of its proper divisors (3608039046).

40219901401 is an frugal number, since it uses more digits than its factorization.

40219901401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 31.

The spelling of 40219901401 in words is "forty billion, two hundred nineteen million, nine hundred one thousand, four hundred one".

Divisors: 1 17 47 251 289 799 2209 4267 11797 13583 37553 63001 72539 200549 554459 638401 1071017 2961047 3409333 9425803 18207289 50337799 139169209 160238651 855742583 2365876553 40219901401