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40181225454 = 232611271931493
BaseRepresentation
bin100101011010111111…
…001101011111101110
310211201022001202002100
4211122333031133232
51124242343203304
630243051035530
72621504531616
oct453277153756
9124638052070
1040181225454
111604a288447
12795473bba6
133a34795166
141d326a3a46
1510a2883439
hex95afcd7ee

40181225454 has 96 divisors (see below), whose sum is σ = 89705401344. Its totient is φ = 12994007040.

The previous prime is 40181225431. The next prime is 40181225459. The reversal of 40181225454 is 45452218104.

40181225454 is a `hidden beast` number, since 4 + 0 + 181 + 2 + 25 + 454 = 666.

It is a super-2 number, since 2×401812254542 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40181225459) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26912332 + ... + 26913824.

It is an arithmetic number, because the mean of its divisors is an integer number (934431264).

Almost surely, 240181225454 is an apocalyptic number.

40181225454 is an abundant number, since it is smaller than the sum of its proper divisors (49524175890).

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

40181225454 is a wasteful number, since it uses less digits than its factorization.

40181225454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The spelling of 40181225454 in words is "forty billion, one hundred eighty-one million, two hundred twenty-five thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 61 122 127 183 193 254 366 381 386 549 579 762 1098 1143 1158 1493 1737 2286 2986 3474 4479 7747 8958 11773 13437 15494 23241 23546 24511 26874 35319 46482 49022 69723 70638 73533 91073 105957 139446 147066 182146 189611 211914 220599 273219 288149 379222 441198 546438 568833 576298 819657 864447 1137666 1495171 1639314 1706499 1728894 2593341 2990342 3412998 4485513 5186682 8971026 11566271 13456539 17577089 23132542 26913078 34698813 35154178 36594923 52731267 69397626 73189846 104096439 105462534 109784769 158193801 208192878 219569538 316387602 329354307 658708614 2232290303 4464580606 6696870909 13393741818 20090612727 40181225454