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40432458225328 = 2413475237908011
BaseRepresentation
bin10010011000101111010100…
…10011110101011010110000
312022011022020112101001212221
421030113222103311122300
520244421133301202303
6221554225340530424
711342102002233211
oct1114275223653260
9168138215331787
1040432458225328
1111979344661584
1246500b8550a14
1319739c2661aa0
149dad27381408
154a1b1ae674bd
hex24c5ea4f56b0

40432458225328 has 80 divisors (see below), whose sum is σ = 86323605935616. Its totient is φ = 18229165067520.

The previous prime is 40432458225293. The next prime is 40432458225343. The reversal of 40432458225328 is 82352285423404.

40432458225328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1158843 + ... + 9066853.

Almost surely, 240432458225328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40432458225328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43161802967808).

40432458225328 is an abundant number, since it is smaller than the sum of its proper divisors (45891147710288).

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

40432458225328 is a wasteful number, since it uses less digits than its factorization.

40432458225328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7908602 (or 7908596 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 52.

The spelling of 40432458225328 in words is "forty trillion, four hundred thirty-two billion, four hundred fifty-eight million, two hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 47 52 94 104 188 208 376 523 611 752 1046 1222 2092 2444 4184 4888 6799 8368 9776 13598 24581 27196 49162 54392 98324 108784 196648 319553 393296 639106 1278212 2556424 5112848 7908011 15816022 31632044 63264088 102804143 126528176 205608286 371676517 411216572 743353034 822433144 1486706068 1644866288 2973412136 4135889753 4831794721 5946824272 8271779506 9663589442 16543559012 19327178884 33087118024 38654357768 53766566789 66174236048 77308715536 107533133578 194386818391 215066267156 388773636782 430132534312 777547273564 860265068624 1555094547128 2527028639083 3110189094256 5054057278166 10108114556332 20216229112664 40432458225328