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142402304042240 = 2851131326251613
BaseRepresentation
bin100000011000001110011110…
…101111110110010100000000
3200200012112020102010020022212
4200120032132233312110000
5122131104404313322430
61222510414303521252
741665140562523354
oct4030163657662400
9620175212106285
10142402304042240
1141412529236470
1213b7a62b5b9228
13615c630a420b8
142724445d41464
15116e3262d1b95
hex81839ebf6500

142402304042240 has 144 divisors (see below), whose sum is σ = 384110380233216. Its totient is φ = 50112247603200.

The previous prime is 142402304042213. The next prime is 142402304042321. The reversal of 142402304042240 is 42240403204241.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 142402304042197 and 142402304042206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162689327 + ... + 163562286.

It is an arithmetic number, because the mean of its divisors is an integer number (2667433196064).

Almost surely, 2142402304042240 is an apocalyptic number.

142402304042240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142402304042240 is an abundant number, since it is smaller than the sum of its proper divisors (241708076190976).

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

142402304042240 is a wasteful number, since it uses less digits than its factorization.

142402304042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326251676 (or 326251662 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 142402304042240 its reverse (42240403204241), we get a palindrome (184642707246481).

The spelling of 142402304042240 in words is "one hundred forty-two trillion, four hundred two billion, three hundred four million, forty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 64 80 88 110 124 128 155 160 176 220 248 256 310 320 341 352 440 496 620 640 682 704 880 992 1240 1280 1364 1408 1705 1760 1984 2480 2728 2816 3410 3520 3968 4960 5456 6820 7040 7936 9920 10912 13640 14080 19840 21824 27280 39680 43648 54560 87296 109120 218240 436480 326251613 652503226 1305006452 1631258065 2610012904 3262516130 3588767743 5220025808 6525032260 7177535486 10113800003 10440051616 13050064520 14355070972 17943838715 20227600006 20880103232 26100129040 28710141944 35887677430 40455200012 41760206464 50569000015 52200258080 57420283888 71775354860 80910400024 83520412928 101138000030 104400516160 111251800033 114840567776 143550709720 161820800048 202276000060 208801032320 222503600066 229681135552 287101419440 323641600096 404552000120 417602064640 445007200132 459362271104 556259000165 574202838880 647283200192 809104000240 890014400264 918724542208 1112518000330 1148405677760 1294566400384 1618208000480 1780028800528 2225036000660 2296811355520 2589132800768 3236416000960 3560057601056 4450072001320 4593622711040 6472832001920 7120115202112 8900144002640 12945664003840 14240230404224 17800288005280 28480460808448 35600576010560 71201152021120 142402304042240