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40214354101120 = 27562834928283
BaseRepresentation
bin10010010010011001000100…
…10010101000001110000000
312021101110021110222120210201
421021030202102220032000
520232332444122213440
6221310115204334544
711320251116614033
oct1111144222501600
9167343243876721
1040214354101120
11118a48a255a961
1246159899a4454
1319592746865a4
149d0556acb01a
1549b10341d19a
hex2493224a8380

40214354101120 has 32 divisors (see below), whose sum is σ = 96137440274520. Its totient is φ = 16085741640192.

The previous prime is 40214354101109. The next prime is 40214354101189. The reversal of 40214354101120 is 2110145341204.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31417463502 + ... + 31417464781.

Almost surely, 240214354101120 is an apocalyptic number.

40214354101120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40214354101120 is an abundant number, since it is smaller than the sum of its proper divisors (55923086173400).

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

40214354101120 is an equidigital number, since it uses as much as digits as its factorization.

40214354101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62834928302 (or 62834928290 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 40214354101120 its reverse (2110145341204), we get a palindrome (42324499442324).

The spelling of 40214354101120 in words is "forty trillion, two hundred fourteen billion, three hundred fifty-four million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 62834928283 125669856566 251339713132 314174641415 502679426264 628349282830 1005358852528 1256698565660 2010717705056 2513397131320 4021435410112 5026794262640 8042870820224 10053588525280 20107177050560 40214354101120