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314320200041020 = 22547798350996369
BaseRepresentation
bin100011101110111110101111…
…1110111101000001000111100
31112012220201101011201222022011
41013131331133313220020330
5312144310232202303040
63032300412333301004
7123130612400445055
oct10735753767501074
91465821334658264
10314320200041020
11911744a2681188
122b30543b034764
1310650363132154
145789270ac172c
1526512ca4ed3ea
hex11ddf5fde823c

314320200041020 has 96 divisors (see below), whose sum is σ = 690874342502400. Its totient is φ = 120031579259904.

The previous prime is 314320200040993. The next prime is 314320200041063. The reversal of 314320200041020 is 20140002023413.

It is a junction number, because it is equal to n+sod(n) for n = 314320200040982 and 314320200041000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19334605 + ... + 31661764.

It is an arithmetic number, because the mean of its divisors is an integer number (7196607734400).

Almost surely, 2314320200041020 is an apocalyptic number.

It is an amenable number.

314320200041020 is an abundant number, since it is smaller than the sum of its proper divisors (376554142461380).

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

314320200041020 is a wasteful number, since it uses less digits than its factorization.

314320200041020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50996587 (or 50996585 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 314320200041020 its reverse (20140002023413), we get a palindrome (334460202064433).

The spelling of 314320200041020 in words is "three hundred fourteen trillion, three hundred twenty billion, two hundred million, forty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 47 79 83 94 158 166 188 235 316 332 395 415 470 790 830 940 1580 1660 3713 3901 6557 7426 7802 13114 14852 15604 18565 19505 26228 32785 37130 39010 65570 74260 78020 131140 308179 616358 1232716 1540895 3081790 6163580 50996369 101992738 203985476 254981845 509963690 1019927380 2396829343 4028713151 4232698627 4793658686 8057426302 8465397254 9587317372 11984146715 16114852604 16930794508 20143565755 21163493135 23968293430 40287131510 42326986270 47936586860 80574263020 84653972540 189349518097 198936835469 334383191533 378699036194 397873670938 668766383066 757398072388 795747341876 946747590485 994684177345 1337532766132 1671915957665 1893495180970 1989368354690 3343831915330 3786990361940 3978736709380 6687663830660 15716010002051 31432020004102 62864040008204 78580050010255 157160100020510 314320200041020