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401912922112 = 215133472719
BaseRepresentation
bin1011101100100111110…
…00001000000000000000
31102102102000001212210221
411312103320020000000
523041104202001422
6504345232432424
741015530320262
oct5662370100000
91372360055727
10401912922112
111454a5404069
1265a879a8714
132bb91a47810
141564a271b32
15a6c480a3c7
hex5d93e08000

401912922112 has 128 divisors (see below), whose sum is σ = 868459334400. Its totient is φ = 184895668224.

The previous prime is 401912922109. The next prime is 401912922121. The reversal of 401912922112 is 211229219104.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147815089 + ... + 147817807.

It is an arithmetic number, because the mean of its divisors is an integer number (6784838550).

Almost surely, 2401912922112 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 401912922112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434229667200).

401912922112 is an abundant number, since it is smaller than the sum of its proper divisors (466546412288).

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

401912922112 is an equidigital number, since it uses as much as digits as its factorization.

401912922112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3109 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 401912922112 in words is "four hundred one billion, nine hundred twelve million, nine hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 347 416 512 694 832 1024 1388 1664 2048 2719 2776 3328 4096 4511 5438 5552 6656 8192 9022 10876 11104 13312 16384 18044 21752 22208 26624 32768 35347 36088 43504 44416 53248 70694 72176 87008 88832 106496 141388 144352 174016 177664 212992 282776 288704 348032 355328 425984 565552 577408 696064 710656 943493 1131104 1154816 1392128 1421312 1886986 2262208 2309632 2784256 2842624 3773972 4524416 4619264 5568512 5685248 7547944 9048832 9238528 11137024 11370496 12265409 15095888 18097664 18477056 22274048 24530818 30191776 36195328 36954112 44548096 49061636 60383552 72390656 73908224 89096192 98123272 120767104 144781312 147816448 196246544 241534208 289562624 392493088 483068416 579125248 784986176 966136832 1158250496 1569972352 1932273664 3139944704 3864547328 6279889408 7729094656 12559778816 15458189312 25119557632 30916378624 50239115264 100478230528 200956461056 401912922112