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313002340140 = 223572913311657
BaseRepresentation
bin1001000111000000110…
…01001010111100101100
31002220220200010100021110
410203200121022330230
520112012044341030
6355442530232020
731420326664500
oct4434031127454
91086820110243
10313002340140
1111081a72a956
12507b3a25610
132369283c7b9
1411213d1a300
15821de241b0
hex48e064af2c

313002340140 has 144 divisors (see below), whose sum is σ = 1019692431072. Its totient is φ = 71529421824.

The previous prime is 313002340129. The next prime is 313002340141. The reversal of 313002340140 is 41043200313.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (313002340141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26845192 + ... + 26856848.

It is an arithmetic number, because the mean of its divisors is an integer number (7081197438).

Almost surely, 2313002340140 is an apocalyptic number.

313002340140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313002340140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509846215536).

313002340140 is an abundant number, since it is smaller than the sum of its proper divisors (706690090932).

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

313002340140 is a wasteful number, since it uses less digits than its factorization.

313002340140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20816 (or 20807 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 313002340140 its reverse (41043200313), we get a palindrome (354045540453).

The spelling of 313002340140 in words is "three hundred thirteen billion, two million, three hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 9133 11657 18266 23314 27399 34971 36532 45665 46628 54798 58285 63931 69942 81599 91330 109596 116570 127862 136995 139884 163198 174855 182660 191793 233140 244797 255724 273990 319655 326396 349710 383586 407995 447517 489594 547980 571193 639310 699420 767172 815990 895034 958965 979188 1142386 1223985 1278620 1342551 1631980 1713579 1790068 1917930 2237585 2284772 2447970 2685102 2855965 3427158 3835860 4475170 4895940 5370204 5711930 6712755 6854316 8567895 8950340 11423860 13425510 17135790 26851020 34271580 106463381 212926762 319390143 425853524 532316905 638780286 745243667 1064633810 1277560572 1490487334 1596950715 2129267620 2235731001 2980974668 3193901430 3726218335 4471462002 5216705669 6387802860 7452436670 8942924004 10433411338 11178655005 14904873340 15650117007 20866822676 22357310010 26083528345 31300234014 44714620020 52167056690 62600468028 78250585035 104334113380 156501170070 313002340140