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40434632252 = 22779831131949
BaseRepresentation
bin100101101010000101…
…111000011000111100
310212100221220010212022
4211222011320120330
51130302231213002
630324142255312
72631002463140
oct455205703074
9125327803768
1040434632252
111616a328753
127a05587538
133a7512b401
141d581c9220
1510b9c3bba2
hex96a17863c

40434632252 has 96 divisors (see below), whose sum is σ = 83655936000. Its totient is φ = 16745444352.

The previous prime is 40434632221. The next prime is 40434632257. The reversal of 40434632252 is 25223643404.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40434632257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20745374 + ... + 20747322.

It is an arithmetic number, because the mean of its divisors is an integer number (871416000).

Almost surely, 240434632252 is an apocalyptic number.

It is an amenable number.

40434632252 is an abundant number, since it is smaller than the sum of its proper divisors (43221303748).

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

40434632252 is a wasteful number, since it uses less digits than its factorization.

40434632252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2235 (or 2233 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 35.

The spelling of 40434632252 in words is "forty billion, four hundred thirty-four million, six hundred thirty-two thousand, two hundred fifty-two".

Divisors: 1 2 4 7 14 28 79 83 113 158 166 226 316 332 452 553 581 791 1106 1162 1582 1949 2212 2324 3164 3898 6557 7796 8927 9379 13114 13643 17854 18758 26228 27286 35708 37516 45899 54572 62489 65653 91798 124978 131306 153971 161767 183596 220237 249956 262612 307942 323534 440474 615884 647068 740941 880948 1077797 1132369 1481882 1541659 2155594 2264738 2963764 3083318 4311188 4529476 5186587 6166636 10373174 12779593 17398723 18279671 20746348 25559186 34797446 36559342 51118372 69594892 73118684 89457151 121791061 127957697 178914302 243582122 255915394 357828604 487164244 511830788 1444094009 2888188018 5776376036 10108658063 20217316126 40434632252