Search a number
-
+
31402540000 = 255413120779
BaseRepresentation
bin11101001111101111…
…001011101111100000
310000001111102022120001
4131033233023233200
51003303022240000
622232013225344
72161120120516
oct351757135740
9100044368501
1031402540000
1112354a080a7
126104792254
132c65b22a20
14173c81c4b6
15c3bd2146a
hex74fbcbbe0

31402540000 has 120 divisors (see below), whose sum is σ = 83198336760. Its totient is φ = 11594688000.

The previous prime is 31402539979. The next prime is 31402540027. The reversal of 31402540000 is 4520413.

It is a super-2 number, since 2×314025400002 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31402540000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 199611 + ... + 320389.

It is an arithmetic number, because the mean of its divisors is an integer number (693319473).

Almost surely, 231402540000 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 31402540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41599168380).

31402540000 is an abundant number, since it is smaller than the sum of its proper divisors (51795796760).

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

31402540000 is a wasteful number, since it uses less digits than its factorization.

31402540000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120822 (or 120799 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

It can be divided in two parts, 314025 and 40000, that added together give a square (354025 = 5952).

The spelling of 31402540000 in words is "thirty-one billion, four hundred two million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 625 650 800 1000 1040 1250 1300 1625 2000 2080 2500 2600 3250 4000 5000 5200 6500 8125 10000 10400 13000 16250 20000 26000 32500 52000 65000 120779 130000 241558 260000 483116 603895 966232 1207790 1570127 1932464 2415580 3019475 3140254 3864928 4831160 6038950 6280508 7850635 9662320 12077900 12561016 15097375 15701270 19324640 24155800 25122032 30194750 31402540 39253175 48311600 50244064 60389500 62805080 75486875 78506350 96623200 120779000 125610160 150973750 157012700 196265875 241558000 251220320 301947500 314025400 392531750 483116000 603895000 628050800 785063500 981329375 1207790000 1256101600 1570127000 1962658750 2415580000 3140254000 3925317500 6280508000 7850635000 15701270000 31402540000