Search a number
-
+
3940114296560 = 245133851983789
BaseRepresentation
bin111001010101100001000…
…111001110111011110000
3111221200010100011202120212
4321111201013032323300
51004023323224442220
612214021415323252
7554443463633411
oct71254107167360
914850110152525
103940114296560
111289aa1890282
12537754380528
13227721c49460
14d89b9b1d808
156c7587d30c5
hex395611ceef0

3940114296560 has 80 divisors (see below), whose sum is σ = 9868011844320. Its totient is φ = 1454432179200.

The previous prime is 3940114296557. The next prime is 3940114296647. The reversal of 3940114296560 is 656924110493.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 3940114296499 and 3940114296508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3513146 + ... + 4496934.

It is an arithmetic number, because the mean of its divisors is an integer number (123350148054).

Almost surely, 23940114296560 is an apocalyptic number.

It is an amenable number.

3940114296560 is an abundant number, since it is smaller than the sum of its proper divisors (5927897547760).

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

3940114296560 is a wasteful number, since it uses less digits than its factorization.

3940114296560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987666 (or 987660 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 50.

The spelling of 3940114296560 in words is "three trillion, nine hundred forty billion, one hundred fourteen million, two hundred ninety-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 3851 7702 15404 19255 30808 38510 50063 61616 77020 100126 154040 200252 250315 308080 400504 500630 801008 983789 1001260 1967578 2002520 3935156 4005040 4918945 7870312 9837890 12789257 15740624 19675780 25578514 39351560 51157028 63946285 78703120 102314056 127892570 204628112 255785140 511570280 1023140560 3788571439 7577142878 15154285756 18942857195 30308571512 37885714390 49251428707 60617143024 75771428780 98502857414 151542857560 197005714828 246257143535 303085715120 394011429656 492514287070 788022859312 985028574140 1970057148280 3940114296560