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20332401143430 = 235192271249125813
BaseRepresentation
bin1001001111110000000011…
…00011000010111010000110
32122222202110222212011100010
410213320001203002322012
510131111224143042210
6111124324240131050
74165652566101255
oct447700143027206
978882428764303
1020332401143430
116529a17420a22
122344680006a86
13b4644caa395c
1450414468479c
15253d5bd6d920
hex127e018c2e86

20332401143430 has 128 divisors (see below), whose sum is σ = 51634065600000. Its totient is φ = 5109843308544.

The previous prime is 20332401143393. The next prime is 20332401143459. The reversal of 20332401143430 is 3434110423302.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 161545204 + ... + 161671016.

It is an arithmetic number, because the mean of its divisors is an integer number (403391137500).

Almost surely, 220332401143430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20332401143430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25817032800000).

20332401143430 is an abundant number, since it is smaller than the sum of its proper divisors (31301664456570).

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

20332401143430 is a wasteful number, since it uses less digits than its factorization.

20332401143430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127318.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 20332401143430 its reverse (3434110423302), we get a palindrome (23766511566732).

The spelling of 20332401143430 in words is "twenty trillion, three hundred thirty-two billion, four hundred one million, one hundred forty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 227 285 454 570 681 1135 1249 1362 2270 2498 3405 3747 4313 6245 6810 7494 8626 12490 12939 18735 21565 23731 25878 37470 43130 47462 64695 71193 118655 125813 129390 142386 237310 251626 283523 355965 377439 567046 629065 711930 754878 850569 1258130 1417615 1701138 1887195 2390447 2835230 3774390 4252845 4780894 5386937 7171341 8505690 10773874 11952235 14342682 16160811 23904470 26934685 28559551 32321622 35856705 53869370 57119102 71713410 80804055 85678653 142797755 157140437 161608110 171357306 285595510 314280874 428393265 471421311 542631469 785702185 856786530 942842622 1085262938 1571404370 1627894407 2357106555 2713157345 2985668303 3255788814 4714213110 5426314690 5971336606 8139472035 8957004909 14928341515 16278944070 17914009818 29856683030 35670879199 44785024545 71341758398 89570049090 107012637597 178354395995 214025275194 356708791990 535063187985 677746704781 1070126375970 1355493409562 2033240114343 3388733523905 4066480228686 6777467047810 10166200571715 20332401143430