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40221212416 = 287112040443
BaseRepresentation
bin100101011101010111…
…101111111100000000
310211211002022021212221
4211131113233330000
51124333112244131
630251040100424
72622501443650
oct453527577400
9124732267787
1040221212416
111606a90a220
127966004714
133a3cb55a98
141d37b12360
1510a6131411
hex95d5eff00

40221212416 has 72 divisors (see below), whose sum is σ = 100096020864. Its totient is φ = 15670594560.

The previous prime is 40221212413. The next prime is 40221212431. The reversal of 40221212416 is 61421212204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40221212413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1000510 + ... + 1039933.

It is an arithmetic number, because the mean of its divisors is an integer number (1390222512).

Almost surely, 240221212416 is an apocalyptic number.

It is an amenable number.

40221212416 is an abundant number, since it is smaller than the sum of its proper divisors (59874808448).

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

40221212416 is a wasteful number, since it uses less digits than its factorization.

40221212416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2040477 (or 2040463 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The spelling of 40221212416 in words is "forty billion, two hundred twenty-one million, two hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 256 308 352 448 616 704 896 1232 1408 1792 2464 2816 4928 9856 19712 2040443 4080886 8161772 14283101 16323544 22444873 28566202 32647088 44889746 57132404 65294176 89779492 114264808 130588352 157114111 179558984 228529616 261176704 314228222 359117968 457059232 522353408 628456444 718235936 914118464 1256912888 1436471872 1828236928 2513825776 2872943744 3656473856 5027651552 5745887488 10055303104 20110606208 40221212416