Search a number
-
+
4102242344240 = 2452919356316273
BaseRepresentation
bin111011101100100000101…
…100101001110100110000
3112112011121022200221012112
4323230200230221310300
51014202343020003430
612420313310144452
7602243250411305
oct73544054516460
915464538627175
104102242344240
111341829949127
125630607b2128
13239abc044391
1410279a1010ac
1571a96ec8195
hex3bb20b29d30

4102242344240 has 160 divisors (see below), whose sum is σ = 9935948790720. Its totient is φ = 1573209243648.

The previous prime is 4102242344237. The next prime is 4102242344279. The reversal of 4102242344240 is 424432422014.

It is a super-2 number, since 2×41022423442402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4102242344197 and 4102242344206.

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, 252080744 + ... + 252097016.

It is an arithmetic number, because the mean of its divisors is an integer number (62099679942).

Almost surely, 24102242344240 is an apocalyptic number.

4102242344240 is a gapful number since it is divisible by the number (40) 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 4102242344240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4967974395360).

4102242344240 is an abundant number, since it is smaller than the sum of its proper divisors (5833706446480).

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

4102242344240 is a wasteful number, since it uses less digits than its factorization.

4102242344240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17071 (or 17065 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 4102242344240 its reverse (424432422014), we get a palindrome (4526674766254).

The spelling of 4102242344240 in words is "four trillion, one hundred two billion, two hundred forty-two million, three hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 193 232 290 386 464 563 580 772 965 1126 1160 1544 1930 2252 2320 2815 3088 3860 4504 5597 5630 7720 9008 11194 11260 15440 16273 16327 22388 22520 27985 32546 32654 44776 45040 55970 65092 65308 81365 81635 89552 108659 111940 130184 130616 162730 163270 217318 223880 260368 261232 325460 326540 434636 447760 471917 543295 650920 653080 869272 943834 1086590 1301840 1306160 1738544 1887668 2173180 2359585 3140689 3151111 3775336 4346360 4719170 6281378 6302222 7550672 8692720 9161699 9438340 12562756 12604444 15703445 15755555 18323398 18876680 25125512 25208888 31406890 31511110 36646796 37753360 45808495 50251024 50417776 62813780 63022220 73293592 91079981 91616990 125627560 126044440 146587184 182159962 183233980 251255120 252088880 265689271 364319924 366467960 455399905 531378542 728639848 732935920 910799810 1062757084 1328446355 1457279696 1768207907 1821599620 2125514168 2656892710 3536415814 3643199240 4251028336 5313785420 7072831628 7286398480 8841039535 10627570840 14145663256 17682079070 21255141680 28291326512 35364158140 51278029303 70728316280 102556058606 141456632560 205112117212 256390146515 410224234424 512780293030 820448468848 1025560586060 2051121172120 4102242344240