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31981415980 = 22519231433323
BaseRepresentation
bin11101110010001111…
…011010111000101100
310001112211200021010011
4131302033122320230
51010444220302410
622405252423004
72211346356553
oct356217327054
9101484607104
1031981415980
11126217481a8
126246617a64
133028a336a7
141795666d9a
15c72a6a18a
hex7723dae2c

31981415980 has 144 divisors (see below), whose sum is σ = 74892432384. Its totient is φ = 11452129920.

The previous prime is 31981415959. The next prime is 31981415987. The reversal of 31981415980 is 8951418913.

It is not an unprimeable number, because it can be changed into a prime (31981415987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9622599 + ... + 9625921.

It is an arithmetic number, because the mean of its divisors is an integer number (520086336).

Almost surely, 231981415980 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 31981415980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37446216192).

31981415980 is an abundant number, since it is smaller than the sum of its proper divisors (42911016404).

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

31981415980 is a wasteful number, since it uses less digits than its factorization.

31981415980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3444 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 49.

The spelling of 31981415980 in words is "thirty-one billion, nine hundred eighty-one million, four hundred fifteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 19 20 31 38 43 62 76 86 95 124 155 172 190 215 310 361 380 430 589 620 722 817 860 1178 1333 1444 1634 1805 2356 2666 2945 3268 3323 3610 4085 5332 5890 6646 6665 7220 8170 11191 11780 13292 13330 15523 16340 16615 22382 25327 26660 31046 33230 44764 50654 55955 62092 63137 66460 77615 101308 103013 111910 126274 126635 142889 155230 206026 223820 252548 253270 285778 310460 315685 412052 481213 506540 515065 571556 631370 714445 962426 1030130 1199603 1262740 1428890 1924852 1957247 2060260 2399206 2406065 2714891 2857780 3914494 4429559 4798412 4812130 5429782 5998015 7828988 8859118 9624260 9786235 10859564 11996030 13574455 17718236 19572470 22147795 23992060 27148910 37187693 39144940 44295590 51582929 54297820 74375386 84161621 88591180 103165858 148750772 168323242 185938465 206331716 257914645 336646484 371876930 420808105 515829290 743753860 841616210 1031658580 1599070799 1683232420 3198141598 6396283196 7995353995 15990707990 31981415980