Search a number
-
+
12254220131440 = 2457174131395317
BaseRepresentation
bin1011001001010010100001…
…1100000001110001110000
31121101111021200002211221011
42302110220130001301300
53101233120323201230
642021302213440304
72403223666330330
oct262245034016160
947344250084834
1012254220131440
1139a4a92885291
12145ab49640094
136ab74cb85671
14305170a870c0
15163b61493e2a
hexb2528701c70

12254220131440 has 160 divisors (see below), whose sum is σ = 35317472287104. Its totient is φ = 3857856430080.

The previous prime is 12254220131431. The next prime is 12254220131443. The reversal of 12254220131440 is 4413102245221.

It is a super-2 number, since 2×122542201314402 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12254220131443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15307339 + ... + 16087978.

Almost surely, 212254220131440 is an apocalyptic number.

12254220131440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12254220131440 is an abundant number, since it is smaller than the sum of its proper divisors (23063252155664).

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

12254220131440 is a wasteful number, since it uses less digits than its factorization.

12254220131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31395395 (or 31395389 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 12254220131440 its reverse (4413102245221), we get a palindrome (16667322376661).

The spelling of 12254220131440 in words is "twelve trillion, two hundred fifty-four billion, two hundred twenty million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 41 56 68 70 80 82 85 112 119 136 140 164 170 205 238 272 280 287 328 340 410 476 560 574 595 656 680 697 820 952 1148 1190 1360 1394 1435 1640 1904 2296 2380 2788 2870 3280 3485 4592 4760 4879 5576 5740 6970 9520 9758 11152 11480 13940 19516 22960 24395 27880 39032 48790 55760 78064 97580 195160 390320 31395317 62790634 125581268 156976585 219767219 251162536 313953170 439534438 502325072 533720389 627906340 879068876 1067440778 1098836095 1255812680 1287207997 1758137752 2134881556 2197672190 2511625360 2574415994 2668601945 3516275504 3736042723 4269763112 4395344380 5148831988 5337203890 6436039985 7472085446 8539526224 8790688760 9010455979 10297663976 10674407780 12872079970 14944170892 17581377520 18020911958 18680213615 20595327952 21348815560 21882535949 25744159940 29888341784 36041823916 37360427230 42697631120 43765071898 45052279895 51488319880 59776683568 72083647832 74720854460 87530143796 90104559790 102976639760 109412679745 144167295664 149441708920 153177751643 175060287592 180209119580 218825359490 298883417840 306355503286 350120575184 360418239160 437650718980 612711006572 720836478320 765888758215 875301437960 1225422013144 1531777516430 1750602875920 2450844026288 3063555032860 6127110065720 12254220131440