Search a number
-
+
32114143423120 = 24511831627270239
BaseRepresentation
bin1110100110101001010000…
…00111000110101010010000
311012201002012212112021210211
413103110220013012222100
513202124231204014440
6152145011145533504
76523112261106433
oct723245007065220
9135632185467724
1032114143423120
11a261593826080
123727b297a4294
1314bc47372a375
147d049342981a
153aa568a04eea
hex1d35281c6a90

32114143423120 has 160 divisors (see below), whose sum is σ = 82485480591360. Its totient is φ = 11530039365120.

The previous prime is 32114143423097. The next prime is 32114143423121. The reversal of 32114143423120 is 2132434141123.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (32114143423121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118700961 + ... + 118971199.

It is an arithmetic number, because the mean of its divisors is an integer number (515534253696).

Almost surely, 232114143423120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32114143423120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41242740295680).

32114143423120 is an abundant number, since it is smaller than the sum of its proper divisors (50371337168240).

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

32114143423120 is a wasteful number, since it uses less digits than its factorization.

32114143423120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271973 (or 271967 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 32114143423120 its reverse (2132434141123), we get a palindrome (34246577564243).

The spelling of 32114143423120 in words is "thirty-two trillion, one hundred fourteen billion, one hundred forty-three million, four hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 110 166 176 220 332 415 440 664 830 880 913 1328 1627 1660 1826 3254 3320 3652 4565 6508 6640 7304 8135 9130 13016 14608 16270 17897 18260 26032 32540 35794 36520 65080 71588 73040 89485 130160 135041 143176 178970 270082 270239 286352 357940 540164 540478 675205 715880 1080328 1080956 1350410 1351195 1431760 1485451 2160656 2161912 2700820 2702390 2970902 2972629 4323824 5401640 5404780 5941804 5945258 7427255 10803280 10809560 11883608 11890516 14854510 14863145 21619120 22429837 23767216 23781032 29709020 29726290 44859674 47562064 59418040 59452580 89719348 112149185 118836080 118905160 179438696 224298370 237810320 246728207 358877392 439678853 448596740 493456414 879357706 897193480 986912828 1233641035 1758715412 1794386960 1973825656 2198394265 2467282070 3517430824 3947651312 4396788530 4836467383 4934564140 7034861648 8793577060 9672934766 9869128280 17587154120 19345869532 19738256560 24182336915 35174308240 36493344799 38691739064 48364673830 72986689598 77383478128 96729347660 145973379196 182466723995 193458695320 291946758392 364933447990 386917390640 401426792789 583893516784 729866895980 802853585578 1459733791960 1605707171156 2007133963945 2919467583920 3211414342312 4014267927890 6422828684624 8028535855780 16057071711560 32114143423120