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40164215130 = 232513172019317
BaseRepresentation
bin100101011001111110…
…010100100101011010
310211200010001112022100
4211121332110211122
51124224014341010
630241242304230
72621210124054
oct453176244532
9124603045270
1040164215130
111604071a326
12794aab8076
133a310ba790
141d303168d4
1510a11232c0
hex959f9495a

40164215130 has 96 divisors (see below), whose sum is σ = 119075143824. Its totient is φ = 9305008128.

The previous prime is 40164215101. The next prime is 40164215137. The reversal of 40164215130 is 3151246104.

It is a happy number.

40164215130 is a `hidden beast` number, since 4 + 0 + 1 + 642 + 1 + 5 + 13 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5703119361 + 34461095769 = 75519^2 + 185637^2 .

It is a super-2 number, since 2×401642151302 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40164215094 and 40164215103.

It is not an unprimeable number, because it can be changed into a prime (40164215137) 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, 989769 + ... + 1029548.

Almost surely, 240164215130 is an apocalyptic number.

40164215130 is an abundant number, since it is smaller than the sum of its proper divisors (78910928694).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40164215130 is a wasteful number, since it uses less digits than its factorization.

40164215130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019360 (or 2019357 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 40164215130 in words is "forty billion, one hundred sixty-four million, two hundred fifteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 17 18 26 30 34 39 45 51 65 78 85 90 102 117 130 153 170 195 221 234 255 306 390 442 510 585 663 765 1105 1170 1326 1530 1989 2210 3315 3978 6630 9945 19890 2019317 4038634 6057951 10096585 12115902 18173853 20193170 26251121 30289755 34328389 36347706 52502242 60579510 68656778 78753363 90869265 102985167 131255605 157506726 171641945 181738530 205970334 236260089 262511210 308955501 343283890 393766815 446269057 472520178 514925835 617911002 787533630 892538114 1029851670 1181300445 1338807171 1544777505 2231345285 2362600890 2677614342 3089555010 4016421513 4462690570 6694035855 8032843026 13388071710 20082107565 40164215130