Search a number
-
+
1142102143440 = 243254138689097
BaseRepresentation
bin10000100111101010100…
…101111011000111010000
311001011222001200020220200
4100213222211323013100
5122203011122042230
62232401404335200
7145341233020266
oct20475245730720
94034861606820
101142102143440
114003a9981565
1216541b844500
138391351919b
143d3c6d1c436
151ea96cc5160
hex109ea97b1d0

1142102143440 has 120 divisors (see below), whose sum is σ = 3929110036488. Its totient is φ = 297132257280.

The previous prime is 1142102143439. The next prime is 1142102143447. The reversal of 1142102143440 is 443412012411.

1142102143440 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 1 + 0 + 214 + 3 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 108496454544 + 1033605688896 = 329388^2 + 1016664^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142102143447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19315029 + ... + 19374068.

Almost surely, 21142102143440 is an apocalyptic number.

1142102143440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1142102143440 is an abundant number, since it is smaller than the sum of its proper divisors (2787007893048).

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

1142102143440 is a wasteful number, since it uses less digits than its factorization.

1142102143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38689157 (or 38689148 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1142102143440 its reverse (443412012411), we get a palindrome (1585514155851).

The spelling of 1142102143440 in words is "one trillion, one hundred forty-two billion, one hundred two million, one hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3690 4920 5904 7380 9840 14760 29520 38689097 77378194 116067291 154756388 193445485 232134582 309512776 348201873 386890970 464269164 580336455 619025552 696403746 773781940 928538328 1160672910 1392807492 1547563880 1586252977 1741009365 1857076656 2321345820 2785614984 3095127760 3172505954 3482018730 4642691640 4758758931 5571229968 6345011908 6964037460 7931264885 9285383280 9517517862 12690023816 13928074920 14276276793 15862529770 19035035724 23793794655 25380047632 27856149840 28552553586 31725059540 38070071448 47587589310 57105107172 63450119080 71381383965 76140142896 95175178620 114210214344 126900238160 142762767930 190350357240 228420428688 285525535860 380700714480 571051071720 1142102143440