Search a number
-
+
142321334040 = 23335197668929
BaseRepresentation
bin1000010010001100000…
…0110011011100011000
3111121100121200212102000
42010203000303130120
54312433230142130
6145214224041000
713165566244014
oct2044300633430
9447317625360
10142321334040
11553a3756826
12236bb163160
1310561796832
146c61a51544
153a7e909260
hex2123033718

142321334040 has 128 divisors (see below), whose sum is σ = 476813304000. Its totient is φ = 37759647744.

The previous prime is 142321334039. The next prime is 142321334101. The reversal of 142321334040 is 40433123241.

142321334040 is a `hidden beast` number, since 1 + 4 + 2 + 321 + 334 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 142321333995 and 142321334013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121705 + ... + 547224.

Almost surely, 2142321334040 is an apocalyptic number.

142321334040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142321334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238406652000).

142321334040 is an abundant number, since it is smaller than the sum of its proper divisors (334491969960).

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

142321334040 is a wasteful number, since it uses less digits than its factorization.

142321334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669146 (or 669136 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 142321334040 its reverse (40433123241), we get a palindrome (182754457281).

The spelling of 142321334040 in words is "one hundred forty-two billion, three hundred twenty-one million, three hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 197 216 270 360 394 540 591 788 985 1080 1182 1576 1773 1970 2364 2955 3546 3940 4728 5319 5910 7092 7880 8865 10638 11820 14184 17730 21276 23640 26595 35460 42552 53190 70920 106380 212760 668929 1337858 2006787 2675716 3344645 4013574 5351432 6020361 6689290 8027148 10033935 12040722 13378580 16054296 18061083 20067870 24081444 26757160 30101805 36122166 40135740 48162888 60203610 72244332 80271480 90305415 120407220 131779013 144488664 180610830 240814440 263558026 361221660 395337039 527116052 658895065 722443320 790674078 1054232104 1186011117 1317790130 1581348156 1976685195 2372022234 2635580260 3162696312 3558033351 3953370390 4744044468 5271160520 5930055585 7116066702 7906740780 9488088936 11860111170 14232133404 15813481560 17790166755 23720222340 28464266808 35580333510 47440444680 71160667020 142321334040