Search a number
-
+
232503142321400 = 235219130346957051
BaseRepresentation
bin110100110111010111011011…
…001101010000110011111000
31010111020002020202012211212012
4310313113123031100303320
5220433312413413241100
62142254245151505052
766654540416463356
oct6467273315206370
91114202222184765
10232503142321400
11680a0035550215
12220b07bbb28188
139c96c4c105622
14415b2d81367d6
151bd2e18782135
hexd375db350cf8

232503142321400 has 96 divisors (see below), whose sum is σ = 569457561014400. Its totient is φ = 88038833904000.

The previous prime is 232503142321313. The next prime is 232503142321451. The reversal of 232503142321400 is 4123241305232.

It is a super-2 number, since 2×2325031423214002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18527126 + ... + 28429925.

It is an arithmetic number, because the mean of its divisors is an integer number (5931849593900).

Almost surely, 2232503142321400 is an apocalyptic number.

232503142321400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

232503142321400 is an abundant number, since it is smaller than the sum of its proper divisors (336954418693000).

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

232503142321400 is a wasteful number, since it uses less digits than its factorization.

232503142321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46958389 (or 46958380 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 232503142321400 its reverse (4123241305232), we get a palindrome (236626383626632).

The spelling of 232503142321400 in words is "two hundred thirty-two trillion, five hundred three billion, one hundred forty-two million, three hundred twenty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1303 1900 2606 3800 5212 6515 10424 13030 24757 26060 32575 49514 52120 65150 99028 123785 130300 198056 247570 260600 495140 618925 990280 1237850 2475700 4951400 46957051 93914102 187828204 234785255 375656408 469570510 892183969 939141020 1173926275 1784367938 1878282040 2347852550 3568735876 4460919845 4695705100 7137471752 8921839690 9391410200 17843679380 22304599225 35687358760 44609198450 61185037453 89218396900 122370074906 178436793800 244740149812 305925187265 489480299624 611850374530 1162515711607 1223700749060 1529625936325 2325031423214 2447401498120 3059251872650 4650062846428 5812578558035 6118503745300 9300125692856 11625157116070 12237007490600 23250314232140 29062892790175 46500628464280 58125785580350 116251571160700 232503142321400