Search a number
-
+
234053023120 = 24573141328837
BaseRepresentation
bin1101100111111010100…
…1011011010110010000
3211101010120001111100221
43121332221123112100
512313320033214440
6255304504322424
722624023604540
oct3317651332620
9741116044327
10234053023120
1190296914514
123943ba73414
13190c02ac0b7
14b484923320
15614cce8d4a
hex367ea5b590

234053023120 has 160 divisors (see below), whose sum is σ = 657633908736. Its totient is φ = 75763814400.

The previous prime is 234053023111. The next prime is 234053023121. The reversal of 234053023120 is 21320350432.

It is a super-2 number, since 2×2340530231202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (234053023121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 547342 + ... + 876178.

Almost surely, 2234053023120 is an apocalyptic number.

234053023120 is a gapful number since it is divisible by the number (20) 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 234053023120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328816954368).

234053023120 is an abundant number, since it is smaller than the sum of its proper divisors (423580885616).

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

234053023120 is a wasteful number, since it uses less digits than its factorization.

234053023120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328929 (or 328923 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 234053023120 its reverse (21320350432), we get a palindrome (255373373552).

The spelling of 234053023120 in words is "two hundred thirty-four billion, fifty-three million, twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 41 56 62 70 80 82 112 124 140 155 164 205 217 248 280 287 310 328 410 434 496 560 574 620 656 820 868 1085 1148 1240 1271 1435 1640 1736 2170 2296 2480 2542 2870 3280 3472 4340 4592 5084 5740 6355 8680 8897 10168 11480 12710 17360 17794 20336 22960 25420 35588 44485 50840 71176 88970 101680 142352 177940 328837 355880 657674 711760 1315348 1644185 2301859 2630696 3288370 4603718 5261392 6576740 9207436 10193947 11509295 13153480 13482317 18414872 20387894 23018590 26306960 26964634 36829744 40775788 46037180 50969735 53929268 67411585 71357629 81551576 92074360 94376219 101939470 107858536 134823170 142715258 163103152 184148720 188752438 203878940 215717072 269646340 285430516 356788145 377504876 407757880 417951827 471881095 539292680 570861032 713576290 755009752 815515760 835903654 943762190 1078585360 1141722064 1427152580 1510019504 1671807308 1887524380 2089759135 2854305160 2925662789 3343614616 3775048760 4179518270 5708610320 5851325578 6687229232 7550097520 8359036540 11702651156 14628313945 16718073080 23405302312 29256627890 33436146160 46810604624 58513255780 117026511560 234053023120