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42032140440 = 2335599476269
BaseRepresentation
bin100111001001010011…
…111001000010011000
311000111021212222010020
4213021103321002120
51142040211443230
631150450350440
73015411204333
oct471123710230
9130437788106
1042032140440
111690a058254
12819058b420
133c6b0a0c24
14206a43161a
1511600e7810
hex9c94f9098

42032140440 has 128 divisors (see below), whose sum is σ = 128389536000. Its totient is φ = 11005203968.

The previous prime is 42032140387. The next prime is 42032140453. The reversal of 42032140440 is 4404123024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42032140440.

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, 6701626 + ... + 6707894.

It is an arithmetic number, because the mean of its divisors is an integer number (1003043250).

Almost surely, 242032140440 is an apocalyptic number.

42032140440 is a gapful number since it is divisible by the number (40) 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 42032140440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64194768000).

42032140440 is an abundant number, since it is smaller than the sum of its proper divisors (86357395560).

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

42032140440 is a wasteful number, since it uses less digits than its factorization.

42032140440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7289 (or 7285 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 42032140440 its reverse (4404123024), we get a palindrome (46436263464).

The spelling of 42032140440 in words is "forty-two billion, thirty-two million, one hundred forty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 947 1180 1416 1770 1894 2360 2841 3540 3788 4735 5682 6269 7080 7576 9470 11364 12538 14205 18807 18940 22728 25076 28410 31345 37614 37880 50152 55873 56820 62690 75228 94035 111746 113640 125380 150456 167619 188070 223492 250760 279365 335238 369871 376140 446984 558730 670476 739742 752280 838095 1109613 1117460 1340952 1479484 1676190 1849355 2219226 2234920 2958968 3352380 3698710 4438452 5548065 5936743 6704760 7397420 8876904 11096130 11873486 14794840 17810229 22192260 23746972 29683715 35620458 44384520 47493944 59367430 71240916 89051145 118734860 142481832 178102290 237469720 350267837 356204580 700535674 712409160 1050803511 1401071348 1751339185 2101607022 2802142696 3502678370 4203214044 5254017555 7005356740 8406428088 10508035110 14010713480 21016070220 42032140440