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42055321440 = 2535112724093
BaseRepresentation
bin100111001010101100…
…010100011101100000
311000112220111200110210
4213022230110131200
51142112130241230
631153035254120
73016112222406
oct471254243540
9130486450423
1042055321440
1116921150500
1281982aa340
133c72b291b2
14206d547476
151162175eb0
hex9cab14760

42055321440 has 144 divisors (see below), whose sum is σ = 145612407024. Its totient is φ = 10195215360.

The previous prime is 42055321417. The next prime is 42055321457. The reversal of 42055321440 is 4412355024.

It is a super-2 number, since 2×420553214402 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42055321398 and 42055321407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303967 + ... + 420126.

It is an arithmetic number, because the mean of its divisors is an integer number (1011197271).

Almost surely, 242055321440 is an apocalyptic number.

42055321440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42055321440 is an abundant number, since it is smaller than the sum of its proper divisors (103557085584).

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

42055321440 is a wasteful number, since it uses less digits than its factorization.

42055321440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724133 (or 724114 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 42055321440 its reverse (4412355024), we get a palindrome (46467676464).

The spelling of 42055321440 in words is "forty-two billion, fifty-five million, three hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 58080 724093 1448186 2172279 2896372 3620465 4344558 5792744 7240930 7965023 8689116 10861395 11585488 14481860 15930046 17378232 21722790 23170976 23895069 28963720 31860092 34756464 39825115 43445580 47790138 57927440 63720184 69512928 79650230 86891160 87615253 95580276 115854880 119475345 127440368 159300460 173782320 175230506 191160552 238950690 254880736 262845759 318600920 347564640 350461012 382321104 438076265 477901380 525691518 637201840 700922024 764642208 876152530 955802760 1051383036 1274403680 1314228795 1401844048 1752305060 1911605520 2102766072 2628457590 2803688096 3504610120 3823211040 4205532144 5256915180 7009220240 8411064288 10513830360 14018440480 21027660720 42055321440