Search a number
-
+
142403238212670 = 23253137237283117
BaseRepresentation
bin100000011000001111010110…
…011011011011010000111110
3200200012121122111221000020200
4200120033112123123100332
5122131113312440301140
61222511051114224330
741665202665040331
oct4030172633332076
9620177574830220
10142403238212670
1141412968587546
1213b7a8504250a6
13615c74c440a76
1427244d4034618
15116e37d30d030
hex8183d66db43e

142403238212670 has 144 divisors (see below), whose sum is σ = 392800614530688. Its totient is φ = 35755999568640.

The previous prime is 142403238212611. The next prime is 142403238212713. The reversal of 142403238212670 is 76212832304241.

142403238212670 is a `hidden beast` number, since 1 + 4 + 2 + 4 + 0 + 3 + 2 + 382 + 1 + 267 + 0 = 666.

142403238212670 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1424032382126702 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14822049 + ... + 22461068.

It is an arithmetic number, because the mean of its divisors is an integer number (2727782045352).

Almost surely, 2142403238212670 is an apocalyptic number.

142403238212670 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142403238212670 is an abundant number, since it is smaller than the sum of its proper divisors (250397376318018).

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

142403238212670 is a wasteful number, since it uses less digits than its factorization.

142403238212670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37283235 (or 37283195 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 142403238212670 in words is "one hundred forty-two trillion, four hundred three billion, two hundred thirty-eight million, two hundred twelve thousand, six hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 31 37 45 62 74 90 93 111 155 185 186 222 279 310 333 370 465 555 558 666 930 1110 1147 1369 1395 1665 2294 2738 2790 3330 3441 4107 5735 6845 6882 8214 10323 11470 12321 13690 17205 20535 20646 24642 34410 41070 42439 51615 61605 84878 103230 123210 127317 212195 254634 381951 424390 636585 763902 1273170 1909755 3819510 37283117 74566234 111849351 186415585 223698702 335548053 372831170 559246755 671096106 1118493510 1155776627 1379475329 1677740265 2311553254 2758950658 3355480530 3467329881 4138425987 5778883135 6897376645 6934659762 8276851974 10401989643 11557766270 12415277961 13794753290 17336649405 20692129935 20803979286 24830555922 34673298810 41384259870 42763735199 51040587173 52009948215 62076389805 85527470398 102081174346 104019896430 124152779610 128291205597 153121761519 213818675995 255202935865 256582411194 306243523038 384873616791 427637351990 459365284557 510405871730 641456027985 765608807595 769747233582 918730569114 1282912055970 1531217615190 1582258202363 1924368083955 2296826422785 3164516404726 3848736167910 4593652845570 4746774607089 7911291011815 9493549214178 14240323821267 15822582023630 23733873035445 28480647642534 47467746070890 71201619106335 142403238212670