Search a number
-
+
31146462134340 = 22357353210080009
BaseRepresentation
bin1110001010011110110011…
…10011111100000001000100
311002021120110111110111112020
413011033121303330001010
513040300423301244330
6150124253121323140
76363154236631320
oct705173163740104
9132246414414466
1031146462134340
119a1915a985283
1235b04871964b0
13144c1390206b7
147996d536a980
153902ce733210
hex1c53d9cfc044

31146462134340 has 96 divisors (see below), whose sum is σ = 99951026837760. Its totient is φ = 7099023630336.

The previous prime is 31146462134239. The next prime is 31146462134353. The reversal of 31146462134340 is 4343126464113.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 31146462134292 and 31146462134301.

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, 104891745 + ... + 105188264.

It is an arithmetic number, because the mean of its divisors is an integer number (1041156529560).

Almost surely, 231146462134340 is an apocalyptic number.

31146462134340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31146462134340 is an abundant number, since it is smaller than the sum of its proper divisors (68804564703420).

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

31146462134340 is a wasteful number, since it uses less digits than its factorization.

31146462134340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210080381 (or 210080379 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

Adding to 31146462134340 its reverse (4343126464113), we get a palindrome (35489588598453).

The spelling of 31146462134340 in words is "thirty-one trillion, one hundred forty-six billion, four hundred sixty-two million, one hundred thirty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 353 420 706 1059 1412 1765 2118 2471 3530 4236 4942 5295 7060 7413 9884 10590 12355 14826 21180 24710 29652 37065 49420 74130 148260 210080009 420160018 630240027 840320036 1050400045 1260480054 1470560063 2100800090 2520960108 2941120126 3151200135 4201600180 4411680189 5882240252 6302400270 7352800315 8823360378 12604800540 14705600630 17646720756 22058400945 29411201260 44116801890 74158243177 88233603780 148316486354 222474729531 296632972708 370791215885 444949459062 519107702239 741582431770 889898918124 1038215404478 1112373647655 1483164863540 1557323106717 2076430808956 2224747295310 2595538511195 3114646213434 4449494590620 5191077022390 6229292426868 7786615533585 10382154044780 15573231067170 31146462134340