Search a number
-
+
31457685664240 = 24511733591364039
BaseRepresentation
bin1110010011100010100000…
…01011011111000111110000
311010101022210012102220212221
413021301100023133013300
513110400320012223430
6150523243345530424
76424512530164333
oct711612013370760
9133338705386787
1031457685664240
11a029147503720
123640863343a14
1314725a717bc54
147aa7bad2861a
153984473d757a
hex1c9c502df1f0

31457685664240 has 160 divisors (see below), whose sum is σ = 81106473139200. Its totient is φ = 11251021916160.

The previous prime is 31457685664211. The next prime is 31457685664289. The reversal of 31457685664240 is 4246658675413.

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, 22380141 + ... + 23744179.

It is an arithmetic number, because the mean of its divisors is an integer number (506915457120).

Almost surely, 231457685664240 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 31457685664240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40553236569600).

31457685664240 is an abundant number, since it is smaller than the sum of its proper divisors (49648787474960).

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

31457685664240 is a wasteful number, since it uses less digits than its factorization.

31457685664240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364495 (or 1364489 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 61.

The spelling of 31457685664240 in words is "thirty-one trillion, four hundred fifty-seven billion, six hundred eighty-five million, six hundred sixty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 73 80 88 110 146 176 220 292 359 365 440 584 718 730 803 880 1168 1436 1460 1606 1795 2872 2920 3212 3590 3949 4015 5744 5840 6424 7180 7898 8030 12848 14360 15796 16060 19745 26207 28720 31592 32120 39490 52414 63184 64240 78980 104828 131035 157960 209656 262070 288277 315920 419312 524140 576554 1048280 1153108 1364039 1441385 2096560 2306216 2728078 2882770 4612432 5456156 5765540 6820195 10912312 11531080 13640390 15004429 21824624 23062160 27280780 30008858 54561560 60017716 75022145 99574847 109123120 120035432 150044290 199149694 240070864 300088580 398299388 489690001 497874235 600177160 796598776 979380002 995748470 1095323317 1200354320 1593197552 1958760004 1991496940 2190646634 2448450005 3917520008 3982993880 4381293268 4896900010 5386590011 5476616585 7835040016 7965987760 8762586536 9793800020 10773180022 10953233170 17525173072 19587600040 21546360044 21906466340 26932950055 35747370073 39175200080 43092720088 43812932680 53865900110 71494740146 86185440176 87625865360 107731800220 142989480292 178736850365 215463600440 285978960584 357473700730 393221070803 430927200880 571957921168 714947401460 786442141606 1429894802920 1572884283212 1966105354015 2859789605840 3145768566424 3932210708030 6291537132848 7864421416060 15728842832120 31457685664240