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42434204220120 = 23351943342982663
BaseRepresentation
bin10011010010111111110111…
…01010110011101011011000
312120020200002122121122102210
421221133323222303223120
521030220222240020440
6230130000532355120
711636525065400136
oct1151377352635330
9176220078548383
1042434204220120
1112580277030069
124914049175aa0
131a8a6b3857a6b
14a69b7da8a756
154d8c27381a80
hex2697fbab3ad8

42434204220120 has 128 divisors (see below), whose sum is σ = 134312228467200. Its totient is φ = 10695461750784.

The previous prime is 42434204220059. The next prime is 42434204220127. The reversal of 42434204220120 is 2102240243424.

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 not an unprimeable number, because it can be changed into a prime (42434204220127) 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, 20504092 + ... + 22478571.

It is an arithmetic number, because the mean of its divisors is an integer number (1049314284900).

Almost surely, 242434204220120 is an apocalyptic number.

42434204220120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42434204220120 is an abundant number, since it is smaller than the sum of its proper divisors (91878024247080).

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

42434204220120 is a wasteful number, since it uses less digits than its factorization.

42434204220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42983129 (or 42983125 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 42434204220120 its reverse (2102240243424), we get a palindrome (44536444463544).

The spelling of 42434204220120 in words is "forty-two trillion, four hundred thirty-four billion, two hundred four million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 433 456 570 760 866 1140 1299 1732 2165 2280 2598 3464 4330 5196 6495 8227 8660 10392 12990 16454 17320 24681 25980 32908 41135 49362 51960 65816 82270 98724 123405 164540 197448 246810 329080 493620 987240 42982663 85965326 128947989 171930652 214913315 257895978 343861304 429826630 515791956 644739945 816670597 859653260 1031583912 1289479890 1633341194 1719306520 2450011791 2578959780 3266682388 4083352985 4900023582 5157919560 6533364776 8166705970 9800047164 12250058955 16333411940 18611493079 19600094328 24500117910 32666823880 37222986158 49000235820 55834479237 74445972316 93057465395 98000471640 111668958474 148891944632 186114930790 223337916948 279172396185 353618368501 372229861580 446675833896 558344792370 707236737002 744459723160 1060855105503 1116689584740 1414473474004 1768091842505 2121710211006 2233379169480 2828946948008 3536183685010 4243420422012 5304275527515 7072367370020 8486840844024 10608551055030 14144734740040 21217102110060 42434204220120