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40228075305 = 365114323333
BaseRepresentation
bin100101011101110001…
…111011011100101001
310211211120012222000000
4211131301323130221
51124341341402210
630251443133213
72622613666245
oct453561733451
9124746188000
1040228075305
1116073777430
127968374209
133a413b9772
141d389bb425
1510a6a39ac0
hex95dc7b729

40228075305 has 112 divisors (see below), whose sum is σ = 80796868416. Its totient is φ = 19050111360.

The previous prime is 40228075291. The next prime is 40228075309. The reversal of 40228075305 is 50357082204.

40228075305 is a `hidden beast` number, since 4 + 0 + 2 + 280 + 75 + 305 = 666.

It is not a de Polignac number, because 40228075305 - 24 = 40228075289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 40228075305.

It is not an unprimeable number, because it can be changed into a prime (40228075309) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1712419 + ... + 1735751.

Almost surely, 240228075305 is an apocalyptic number.

40228075305 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

40228075305 is an abundant number, since it is smaller than the sum of its proper divisors (40568793111).

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

40228075305 is a wasteful number, since it uses less digits than its factorization.

40228075305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23410 (or 23395 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 40228075305 in words is "forty billion, two hundred twenty-eight million, seventy-five thousand, three hundred five".

Divisors: 1 3 5 9 11 15 27 33 43 45 55 81 99 129 135 165 215 243 297 387 405 473 495 645 729 891 1161 1215 1419 1485 1935 2365 2673 3483 3645 4257 4455 5805 7095 8019 10449 12771 13365 17415 21285 23333 31347 38313 40095 52245 63855 69999 114939 116665 156735 191565 209997 256663 344817 349995 574695 629991 769989 1003319 1049985 1283315 1724085 1889973 2309967 3009957 3149955 3849945 5016595 5669919 6929901 9029871 9449865 11036509 11549835 15049785 17009757 20789703 27089613 28349595 33109527 34649505 45149355 55182545 62369109 81268839 85048785 99328581 103948515 135448065 165547635 187107327 243806517 297985743 311845545 406344195 496642905 731419551 893957229 935536635 1219032585 1489928715 2681871687 3657097755 4469786145 8045615061 13409358435 40228075305