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4015234478025 = 3652148432
BaseRepresentation
bin111010011011011110100…
…111111110111111001001
3112012212000121001101000000
4322123132213332333021
51011241200011244100
612312323453433213
7563043152636001
oct72333647767711
915185017041000
104015234478025
111308940205481
1254a219a9b809
132318340b1084
14dc4a475d001
156e6a3689900
hex3a6de9fefc9

4015234478025 has 63 divisors (see below), whose sum is σ = 7465424211319. Its totient is φ = 2141314114320.

The previous prime is 4015234477981. The next prime is 4015234478041. The reversal of 4015234478025 is 5208744325104.

The square root of 4015234478025 is 2003805.

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

4015234478025 is a `hidden beast` number, since 4 + 0 + 1 + 523 + 4 + 47 + 80 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1445484412089 + 2569750065936 = 1202283^2 + 1603044^2 .

It is a de Polignac number, because none of the positive numbers 2k-4015234478025 is a prime.

It is a super-2 number, since 2×40152344780252 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 270506254 + ... + 270521096.

Almost surely, 24015234478025 is an apocalyptic number.

4015234478025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4015234478025 is the 2003805-th square number.

4015234478025 is the 1001903-rd centered octagonal number.

It is an amenable number.

4015234478025 is a deficient number, since it is larger than the sum of its proper divisors (3450189733294).

4015234478025 is an frugal number, since it uses more digits than its factorization.

4015234478025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29714 (or 14851 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 4015234478025 in words is "four trillion, fifteen billion, two hundred thirty-four million, four hundred seventy-eight thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 1215 2025 3645 6075 14843 18225 44529 74215 133587 222645 371075 400761 667935 1113225 1202283 2003805 3339675 3606849 6011415 10019025 10820547 18034245 30057075 54102735 90171225 220314649 270513675 660943947 1101573245 1982831841 3304719735 5507866225 5948495523 9914159205 16523598675 17845486569 29742477615 49570796025 53536459707 89227432845 148712388075 160609379121 267682298535 446137164225 803046895605 1338411492675 4015234478025