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142355025302430 = 235173472485132369
BaseRepresentation
bin100000010111100010011100…
…101101110001001110011110
3200200001000012110211101220110
4200113202130231301032132
5122124321042434134210
61222432555032230450
741661545143051653
oct4027423455611636
9620030173741813
10142355025302430
11413a4477660486
1213b71435b3b426
1361580379c0a05
14272203cbb9c2a
15116ceaa7c1420
hex81789cb7139e

142355025302430 has 128 divisors (see below), whose sum is σ = 362817552913920. Its totient is φ = 35622822502400.

The previous prime is 142355025302419. The next prime is 142355025302437. The reversal of 142355025302430 is 34203520553241.

142355025302430 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (142355025302437) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4397865286 + ... + 4397897654.

It is an arithmetic number, because the mean of its divisors is an integer number (2834512132140).

Almost surely, 2142355025302430 is an apocalyptic number.

142355025302430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142355025302430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181408776456960).

142355025302430 is an abundant number, since it is smaller than the sum of its proper divisors (220462527611490).

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

142355025302430 is a wasteful number, since it uses less digits than its factorization.

142355025302430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57594.

The product of its (nonzero) digits is 432000, while the sum is 39.

Adding to 142355025302430 its reverse (34203520553241), we get a palindrome (176558545855671).

The spelling of 142355025302430 in words is "one hundred forty-two trillion, three hundred fifty-five billion, twenty-five million, three hundred two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 347 510 694 1041 1735 2082 3470 5205 5899 10410 11798 17697 24851 29495 32369 35394 49702 58990 64738 74553 88485 97107 124255 149106 161845 176970 194214 248510 323690 372765 422467 485535 550273 745530 844934 971070 1100546 1267401 1650819 2112335 2534802 2751365 3301638 4224670 5502730 6337005 8254095 8623297 11232043 12674010 16508190 17246594 22464086 25869891 33696129 43116485 51739782 56160215 67392258 86232970 112320430 129349455 146596049 168480645 190944731 258698910 293192098 336961290 381889462 439788147 572834193 732980245 804402019 879576294 954723655 1145668386 1465960490 1608804038 1909447310 2198940735 2413206057 2864170965 4022010095 4397881470 4826412114 5728341930 8044020190 12066030285 13674834323 24132060570 27349668646 41024502969 68374171615 82049005938 136748343230 205122514845 279127500593 410245029690 558255001186 837382501779 1395637502965 1674765003558 2791275005930 4186912508895 4745167510081 8373825017790 9490335020162 14235502530243 23725837550405 28471005060486 47451675100810 71177512651215 142355025302430