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42033134032340 = 225111721601520291
BaseRepresentation
bin10011000111010100110100…
…00001011101010111010100
312111211022212101022002210112
421203222122001131113110
521002132324303013330
6225221431042342152
711565536150140133
oct1143523201352724
9174738771262715
1042033134032340
11124361743a5860
12486a37765a958
131a5b9275a6419
14a545b370991a
154cd5a1a40795
hex263a9a05d5d4

42033134032340 has 96 divisors (see below), whose sum is σ = 101963363096448. Its totient is φ = 14384977920000.

The previous prime is 42033134032339. The next prime is 42033134032349. The reversal of 42033134032340 is 4323043133024.

It is a junction number, because it is equal to n+sod(n) for n = 42033134032297 and 42033134032306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42033134032349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80527595 + ... + 81047885.

It is an arithmetic number, because the mean of its divisors is an integer number (1062118365588).

Almost surely, 242033134032340 is an apocalyptic number.

It is an amenable number.

42033134032340 is an abundant number, since it is smaller than the sum of its proper divisors (59930229064108).

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

42033134032340 is a wasteful number, since it uses less digits than its factorization.

42033134032340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541929 (or 541927 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 42033134032340 its reverse (4323043133024), we get a palindrome (46356177165364).

The spelling of 42033134032340 in words is "forty-two trillion, thirty-three billion, one hundred thirty-four million, thirty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 3740 21601 43202 86404 108005 216010 237611 367217 432020 475222 520291 734434 950444 1040582 1188055 1468868 1836085 2081164 2376110 2601455 3672170 4039387 4752220 5202910 5723201 7344340 8078774 8844947 10405820 11446402 16157548 17689894 20196935 22892804 28616005 35379788 40393870 44224735 57232010 80787740 88449470 97294417 114464020 176898940 194588834 389177668 486472085 972944170 1945888340 11238805891 22477611782 44955223564 56194029455 112388058910 123626864801 191059700147 224776117820 247253729602 382119400294 494507459204 618134324005 764238800588 955298500735 1236268648010 1910597001470 2101656701617 2472537296020 3821194002940 4203313403234 8406626806468 10508283508085 21016567016170 42033134032340