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40221215144 = 231117137196247
BaseRepresentation
bin100101011101010111…
…110000100110101000
310211211002022102121222
4211131113300212220
51124333112341034
630251040121212
72622501454625
oct453527604650
9124732272558
1040221215144
111606a911280
127966006208
133a3cb570b6
141d37b1334c
1510a613212e
hex95d5f09a8

40221215144 has 64 divisors (see below), whose sum is σ = 87746405760. Its totient is φ = 17081251840.

The previous prime is 40221215131. The next prime is 40221215147. The reversal of 40221215144 is 44151212204.

40221215144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×402212151442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40221215147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106829 + ... + 303075.

It is an arithmetic number, because the mean of its divisors is an integer number (1371037590).

Almost surely, 240221215144 is an apocalyptic number.

40221215144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40221215144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43873202880).

40221215144 is an abundant number, since it is smaller than the sum of its proper divisors (47525190616).

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

40221215144 is a wasteful number, since it uses less digits than its factorization.

40221215144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196418 (or 196414 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 40221215144 its reverse (44151212204), we get a palindrome (84372427348).

The spelling of 40221215144 in words is "forty billion, two hundred twenty-one million, two hundred fifteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 137 187 274 374 548 748 1096 1496 1507 2329 3014 4658 6028 9316 12056 18632 25619 51238 102476 196247 204952 392494 784988 1569976 2158717 3336199 4317434 6672398 8634868 13344796 17269736 26689592 26885839 36698189 53771678 73396378 107543356 146792756 215086712 293585512 295744229 457059263 591488458 914118526 1182976916 1828237052 2365953832 3656474104 5027651893 10055303786 20110607572 40221215144