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314114341440020 = 225114519493763997
BaseRepresentation
bin100011101101011110111000…
…1101111011000101000010100
31112012012001000112110112002112
41013122331301233120220110
5312132422132402040040
63032022045241130152
7123110004130300502
oct10732756157305024
91465161015415075
10314114341440020
11910a5164887380
122b291569489958
1310636b17124284
14577d3028bb672
15264ac7ca72365
hex11daf71bd8a14

314114341440020 has 96 divisors (see below), whose sum is σ = 719923680241920. Its totient is φ = 114173205488640.

The previous prime is 314114341439999. The next prime is 314114341440059. The reversal of 314114341440020 is 20044143411413.

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, 4908234662 + ... + 4908298658.

It is an arithmetic number, because the mean of its divisors is an integer number (7499205002520).

Almost surely, 2314114341440020 is an apocalyptic number.

It is an amenable number.

314114341440020 is an abundant number, since it is smaller than the sum of its proper divisors (405809338801900).

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

314114341440020 is a wasteful number, since it uses less digits than its factorization.

314114341440020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73473 (or 73471 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

Adding to 314114341440020 its reverse (20044143411413), we get a palindrome (334158484851433).

The spelling of 314114341440020 in words is "three hundred fourteen trillion, one hundred fourteen billion, three hundred forty-one million, four hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 4519 4937 9038 9874 18076 19748 22595 24685 45190 49370 49709 54307 63997 90380 98740 99418 108614 127994 198836 217228 248545 255988 271535 319985 497090 543070 639970 703967 994180 1086140 1279940 1407934 2815868 3519835 7039670 14079340 22310303 44620606 89241212 111551515 223103030 245413333 289202443 315953189 446206060 490826666 578404886 631906378 981653332 1156809772 1227066665 1263812756 1446012215 1579765945 2454133330 2892024430 3159531890 3181226873 3475485079 4908266660 5784048860 6319063780 6362453746 6950970158 12724907492 13901940316 15906134365 17377425395 31812268730 34754850790 63624537460 69509701580 1427792461091 2855584922182 5711169844364 7138962305455 14277924610910 15705717072001 28555849221820 31411434144002 62822868288004 78528585360005 157057170720010 314114341440020