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401400003031216 = 247107105133186023
BaseRepresentation
bin101101101000100100011100…
…0100101111111000010110000
31221122020110120100221220122221
41123101020320211333002300
5410103014201233444331
63541412340554410424
7150356123161225630
oct13321107045770260
91848213510856587
10401400003031216
11106997870264322
123902a014a30a14
13142c8b1c976537
147119c144026c0
15316150668b711
hex16d123897f0b0

401400003031216 has 80 divisors (see below), whose sum is σ = 897206584103424. Its totient is φ = 170404565087232.

The previous prime is 401400003031207. The next prime is 401400003031229. The reversal of 401400003031216 is 612130300004104.

It is a super-2 number, since 2×4014000030312162 (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124394781 + ... + 127580803.

Almost surely, 2401400003031216 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 401400003031216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448603292051712).

401400003031216 is an abundant number, since it is smaller than the sum of its proper divisors (495806581072208).

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

401400003031216 is a wasteful number, since it uses less digits than its factorization.

401400003031216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196658 (or 3196652 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 401400003031216 in words is "four hundred one trillion, four hundred billion, three million, thirty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 56 107 112 214 428 749 856 1498 1712 2996 5992 10513 11984 21026 42052 73591 84104 147182 168208 294364 588728 1124891 1177456 2249782 3186023 4499564 6372046 7874237 8999128 12744092 15748474 17998256 22302161 25488184 31496948 44604322 50976368 62993896 89208644 125987792 178417288 340904461 356834576 681808922 1363617844 2386331227 2727235688 4772662454 5454471376 9545324908 19090649816 33494659799 38181299632 66989319598 133978639196 234462618593 267957278392 468925237186 535914556784 937850474372 1875700948744 3583928598493 3751401897488 7167857196986 14335714393972 25087500189451 28671428787944 50175000378902 57342857575888 100350000757804 200700001515608 401400003031216