Search a number
-
+
31012734144 = 2637221310427
BaseRepresentation
bin11100111000100000…
…001100010011000000
32222001022221010110010
4130320200030103000
51002003224443034
622125210304520
72145344614350
oct347040142300
988038833403
1031012734144
11121749751a7
126016128140
132c03140482
141702b4cb60
15c179c33e9
hex73880c4c0

31012734144 has 112 divisors (see below), whose sum is σ = 93827973888. Its totient is φ = 8855927808.

The previous prime is 31012734121. The next prime is 31012734161. The reversal of 31012734144 is 44143721013.

It is a tau number, because it is divible by the number of its divisors (112).

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, 2969059 + ... + 2979485.

Almost surely, 231012734144 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 31012734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46913986944).

31012734144 is an abundant number, since it is smaller than the sum of its proper divisors (62815239744).

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

31012734144 is a wasteful number, since it uses less digits than its factorization.

31012734144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12662 (or 12652 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The spelling of 31012734144 in words is "thirty-one billion, twelve million, seven hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 2213 4426 6639 8852 10427 13278 15491 17704 20854 26556 30982 31281 35408 41708 46473 53112 61964 62562 70816 72989 83416 92946 106224 123928 125124 141632 145978 166832 185892 212448 218967 247856 250248 291956 333664 371784 424896 437934 495712 500496 583912 667328 743568 875868 991424 1000992 1167824 1487136 1751736 2001984 2335648 2974272 3503472 4671296 7006944 14013888 23074951 46149902 69224853 92299804 138449706 161524657 184599608 276899412 323049314 369199216 484573971 553798824 646098628 738398432 969147942 1107597648 1292197256 1476796864 1938295884 2215195296 2584394512 3876591768 4430390592 5168789024 7753183536 10337578048 15506367072 31012734144