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40457754050 = 25272531731801
BaseRepresentation
bin100101101011011110…
…000101010111000010
310212102120101212000012
4211223132011113002
51130324141112200
630330330024522
72631403143500
oct455336052702
9125376355005
1040457754050
111618139047a
127a11278142
133a79b6574c
141d5b2c7670
1510bbca7a35
hex96b7855c2

40457754050 has 144 divisors (see below), whose sum is σ = 89754369192. Its totient is φ = 13523328000.

The previous prime is 40457754047. The next prime is 40457754067. The reversal of 40457754050 is 5045775404.

40457754050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 6044907001 + 34412847049 = 77749^2 + 185507^2 .

It is a junction number, because it is equal to n+sod(n) for n = 40457753989 and 40457754007.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22463150 + ... + 22464950.

Almost surely, 240457754050 is an apocalyptic number.

40457754050 is an abundant number, since it is smaller than the sum of its proper divisors (49296615142).

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

40457754050 is a wasteful number, since it uses less digits than its factorization.

40457754050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2053 (or 2041 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 41.

The spelling of 40457754050 in words is "forty billion, four hundred fifty-seven million, seven hundred fifty-four thousand, fifty".

Divisors: 1 2 5 7 10 14 25 35 49 50 53 70 98 106 173 175 245 265 346 350 371 490 530 742 865 1211 1225 1325 1730 1801 1855 2422 2450 2597 2650 3602 3710 4325 5194 6055 8477 8650 9005 9169 9275 12110 12607 12985 16954 18010 18338 18550 25214 25970 30275 42385 45025 45845 60550 63035 64183 64925 84770 88249 90050 91690 95453 126070 128366 129850 176498 190906 211925 229225 311573 315175 320915 423850 441245 449281 458450 477265 623146 630350 641830 668171 882490 898562 954530 1336342 1557865 1604575 2181011 2206225 2246405 2386325 3115730 3209150 3340855 4362022 4412450 4492810 4677197 4772650 6681710 7789325 9354394 10905055 11232025 15267077 15578650 16513369 16704275 21810110 22464050 23385985 30534154 33026738 33408550 46771970 54525275 76335385 82566845 109050550 115593583 116929925 152670770 165133690 231187166 233859850 381676925 412834225 577967915 763353850 809155081 825668450 1155935830 1618310162 2889839575 4045775405 5779679150 8091550810 20228877025 40457754050