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40122553224 = 233131372294099
BaseRepresentation
bin100101010111011111…
…011001001110001000
310211120012122212220210
4211113133121032020
51124132333200344
630233153321120
72620163034555
oct452737311610
9124505585823
1040122553224
111601a1540a6
127938b661a0
133a25591670
141d2898da2c
15109c643db9
hex9577d9388

40122553224 has 128 divisors (see below), whose sum is σ = 109312560000. Its totient is φ = 12198795264.

The previous prime is 40122553217. The next prime is 40122553243. The reversal of 40122553224 is 42235522104.

It is a junction number, because it is equal to n+sod(n) for n = 40122553191 and 40122553200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9786327 + ... + 9790425.

It is an arithmetic number, because the mean of its divisors is an integer number (854004375).

Almost surely, 240122553224 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 40122553224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54656280000).

40122553224 is an abundant number, since it is smaller than the sum of its proper divisors (69190006776).

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

40122553224 is a wasteful number, since it uses less digits than its factorization.

40122553224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487 (or 4483 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 40122553224 in words is "forty billion, one hundred twenty-two million, five hundred fifty-three thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 137 156 229 274 312 411 458 548 687 822 916 1096 1374 1644 1781 1832 2748 2977 3288 3562 4099 5343 5496 5954 7124 8198 8931 10686 11908 12297 14248 16396 17862 21372 23816 24594 31373 32792 35724 42744 49188 53287 62746 71448 94119 98376 106574 125492 159861 188238 213148 250984 319722 376476 407849 426296 561563 639444 752952 815698 938671 1123126 1223547 1278888 1631396 1684689 1877342 2246252 2447094 2816013 3262792 3369378 3754684 4492504 4894188 5632026 6738756 7300319 7509368 9788376 11264052 12202723 13477512 14600638 21900957 22528104 24405446 29201276 36608169 43801914 48810892 58402552 73216338 87603828 97621784 128597927 146432676 175207656 257195854 292865352 385793781 514391708 771587562 1028783416 1543175124 1671773051 3086350248 3343546102 5015319153 6687092204 10030638306 13374184408 20061276612 40122553224