Search a number
-
+
42425906355 = 3357432334481
BaseRepresentation
bin100111100000110001…
…111111010010110011
311001111201211100102000
4213200301333102303
51143342013000410
631253514225043
73031232153040
oct474061772263
9131451740360
1042425906355
1116aa1355428
128280425183
13400183bb01
1420a68521c7
151184978dc0
hex9e0c7f4b3

42425906355 has 128 divisors (see below), whose sum is σ = 88601610240. Its totient is φ = 18858147840.

The previous prime is 42425906351. The next prime is 42425906359. The reversal of 42425906355 is 55360952424.

42425906355 is a `hidden beast` number, since 4 + 2 + 4 + 2 + 5 + 9 + 0 + 635 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (42425906351) and next prime (42425906359).

It is not a de Polignac number, because 42425906355 - 22 = 42425906351 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 42425906355.

It is not an unprimeable number, because it can be changed into a prime (42425906351) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9465715 + ... + 9470195.

It is an arithmetic number, because the mean of its divisors is an integer number (692200080).

Almost surely, 242425906355 is an apocalyptic number.

42425906355 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

42425906355 is an abundant number, since it is smaller than the sum of its proper divisors (46175703885).

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

42425906355 is a wasteful number, since it uses less digits than its factorization.

42425906355 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4778 (or 4772 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 42425906355 in words is "forty-two billion, four hundred twenty-five million, nine hundred six thousand, three hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 27 35 43 45 63 105 129 135 189 215 233 301 315 387 645 699 903 945 1161 1165 1505 1631 1935 2097 2709 3495 4481 4515 4893 5805 6291 8127 8155 10019 10485 13443 13545 14679 22405 24465 30057 31367 31455 40329 40635 44037 50095 67215 70133 73395 90171 94101 120987 150285 156835 192683 201645 210399 220185 270513 282303 350665 450855 470505 578049 604935 631197 846909 963415 1044073 1051995 1348781 1352565 1411515 1734147 1893591 2890245 3132219 3155985 4046343 4234545 5202441 5220365 6743905 7308511 8670735 9396657 9467955 12139029 15661095 20231715 21925533 26012205 28189971 36417087 36542555 44895139 46983285 60695145 65776599 109627665 134685417 140949855 182085435 197329797 224475695 314265973 328882995 404056251 673427085 942797919 986648985 1212168753 1571329865 2020281255 2828393757 4713989595 6060843765 8485181271 14141968785 42425906355