Search a number
-
+
234216512601360 = 24352777473513637
BaseRepresentation
bin110101010000010011001000…
…000010001011110100010000
31010201021212202110200021011020
4311100103020002023310100
5221144400404211220420
62150045325215115440
7100222404344534112
oct6520231002136420
91121255673607136
10234216512601360
11686a0735395a53
1222328890212b80
13a08c6a3846953
1441ba1d54793b2
151c12797c95340
hexd504c808bd10

234216512601360 has 80 divisors (see below), whose sum is σ = 726074009854656. Its totient is φ = 62457494045184.

The previous prime is 234216512601349. The next prime is 234216512601431. The reversal of 234216512601360 is 63106215612432.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 64902462 + ... + 68416098.

Almost surely, 2234216512601360 is an apocalyptic number.

234216512601360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234216512601360 is an abundant number, since it is smaller than the sum of its proper divisors (491857497253296).

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

234216512601360 is a wasteful number, since it uses less digits than its factorization.

234216512601360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791400 (or 3791394 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 234216512601360 in words is "two hundred thirty-four trillion, two hundred sixteen billion, five hundred twelve million, six hundred one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 277747 555494 833241 1110988 1388735 1666482 2221976 2777470 3332964 3513637 4166205 4443952 5554940 6665928 7027274 8332410 10540911 11109880 13331856 14054548 16664820 17568185 21081822 22219760 28109096 33329640 35136370 42163644 52704555 56218192 66659280 70272740 84327288 105409110 140545480 168654576 210818220 281090960 421636440 843272880 975902135839 1951804271678 2927706407517 3903608543356 4879510679195 5855412815034 7807217086712 9759021358390 11710825630068 14638532037585 15614434173424 19518042716780 23421651260136 29277064075170 39036085433560 46843302520272 58554128150340 78072170867120 117108256300680 234216512601360