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20332434111440 = 2451183709392629
BaseRepresentation
bin1001001111110000000111…
…00000110011101111010000
32122222202120021220002221112
410213320003200303233100
510131111311113031230
6111124331414512452
74165653446241023
oct447700340635720
978882507802845
1020332434111440
116529a33a99310
12234468b065728
13b46456877859
14504148bc71ba
15253d5ebd1d95
hex127e03833bd0

20332434111440 has 160 divisors (see below), whose sum is σ = 52265523542400. Its totient is φ = 7294211573760.

The previous prime is 20332434111433. The next prime is 20332434111463. The reversal of 20332434111440 is 4411143423302.

It is a junction number, because it is equal to n+sod(n) for n = 20332434111397 and 20332434111406.

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, 51589046 + ... + 51981674.

It is an arithmetic number, because the mean of its divisors is an integer number (326659522140).

Almost surely, 220332434111440 is an apocalyptic number.

20332434111440 is a gapful number since it is divisible by the number (20) 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 20332434111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26132761771200).

20332434111440 is an abundant number, since it is smaller than the sum of its proper divisors (31933089430960).

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

20332434111440 is a wasteful number, since it uses less digits than its factorization.

20332434111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393445 (or 393439 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 20332434111440 its reverse (4411143423302), we get a palindrome (24743577534742).

The spelling of 20332434111440 in words is "twenty trillion, three hundred thirty-two billion, four hundred thirty-four million, one hundred eleven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 83 88 110 166 176 220 332 415 440 664 709 830 880 913 1328 1418 1660 1826 2836 3320 3545 3652 4565 5672 6640 7090 7304 7799 9130 11344 14180 14608 15598 18260 28360 31196 36520 38995 56720 58847 62392 73040 77990 117694 124784 155980 235388 294235 311960 392629 470776 588470 623920 647317 785258 941552 1176940 1294634 1570516 1963145 2353880 2589268 3141032 3236585 3926290 4318919 4707760 5178536 6282064 6473170 7852580 8637838 10357072 12946340 15705160 17275676 21594595 25892680 31410320 32588207 34551352 43189190 51785360 65176414 69102704 86378380 130352828 162941035 172756760 260705656 278373961 325882070 345513520 358470277 521411312 556747922 651764140 716940554 1113495844 1303528280 1391869805 1433881108 1792351385 2226991688 2607056560 2783739610 2867762216 3062113571 3584702770 4453983376 5567479220 5735524432 6124227142 7169405540 11134958440 12248454284 14338811080 15310567855 22269916880 23105038763 24496908568 28677622160 30621135710 46210077526 48993817136 61242271420 92420155052 115525193815 122484542840 184840310104 231050387630 244969085680 254155426393 369680620208 462100775260 508310852786 924201550520 1016621705572 1270777131965 1848403101040 2033243411144 2541554263930 4066486822288 5083108527860 10166217055720 20332434111440