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31467743540 = 22541735211009
BaseRepresentation
bin11101010011100111…
…111010100100110100
310000020001002222222222
4131103213322210310
51003421220243130
622242302541512
72162541256352
oct352347724464
9100201088888
1031467743540
11123887a2522
126122597898
132c764a22bc
1417473527d2
15c42900ce5
hex7539fa934

31467743540 has 96 divisors (see below), whose sum is σ = 68821189920. Its totient is φ = 12076646400.

The previous prime is 31467743539. The next prime is 31467743543. The reversal of 31467743540 is 4534776413.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 19949302564 + 11518440976 = 141242^2 + 107324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31467743491 and 31467743500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31467743543) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31186556 + ... + 31187564.

It is an arithmetic number, because the mean of its divisors is an integer number (716887395).

Almost surely, 231467743540 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 31467743540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34410594960).

31467743540 is an abundant number, since it is smaller than the sum of its proper divisors (37353446380).

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

31467743540 is a wasteful number, since it uses less digits than its factorization.

31467743540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 44.

The spelling of 31467743540 in words is "thirty-one billion, four hundred sixty-seven million, seven hundred forty-three thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 41 73 82 146 164 205 292 365 410 521 730 820 1009 1042 1460 2018 2084 2605 2993 4036 5045 5210 5986 10090 10420 11972 14965 20180 21361 29930 38033 41369 42722 59860 73657 76066 82738 85444 106805 147314 152132 165476 190165 206845 213610 294628 368285 380330 413690 427220 525689 736570 760660 827380 1051378 1473140 1559353 2102756 2628445 3019937 3118706 5256890 6039874 6237412 7796765 10513780 12079748 15099685 15593530 21553249 30199370 31187060 38375297 43106498 60398740 76750594 86212996 107766245 153501188 191876485 215532490 383752970 431064980 767505940 1573387177 3146774354 6293548708 7866935885 15733871770 31467743540