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42433001160 = 23351122922383
BaseRepresentation
bin100111100001001101…
…000011011011001000
311001112020011210122120
4213201031003123020
51143400322014120
631254330251240
73031346362434
oct474115033310
9131466153576
1042433001160
1116aa5360900
128282886b20
134003154214
1420a777b9c4
1511853cb140
hex9e13436c8

42433001160 has 96 divisors (see below), whose sum is σ = 139923745920. Its totient is φ = 10286784640.

The previous prime is 42433001141. The next prime is 42433001161. The reversal of 42433001160 is 6110033424.

It is a super-2 number, since 2×424330011602 (a number of 22 digits) contains 22 as substring.

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 42433001160.

It is not an unprimeable number, because it can be changed into a prime (42433001161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1446672 + ... + 1475711.

It is an arithmetic number, because the mean of its divisors is an integer number (1457539020).

Almost surely, 242433001160 is an apocalyptic number.

42433001160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42433001160 is an abundant number, since it is smaller than the sum of its proper divisors (97490744760).

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

42433001160 is a wasteful number, since it uses less digits than its factorization.

42433001160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2922419 (or 2922404 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 42433001160 its reverse (6110033424), we get a palindrome (48543034584).

The spelling of 42433001160 in words is "forty-two billion, four hundred thirty-three million, one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 121 132 165 220 242 264 330 363 440 484 605 660 726 968 1210 1320 1452 1815 2420 2904 3630 4840 7260 14520 2922383 5844766 8767149 11689532 14611915 17534298 23379064 29223830 32146213 35068596 43835745 58447660 64292426 70137192 87671490 96438639 116895320 128584852 160731065 175342980 192877278 257169704 321462130 350685960 353608343 385754556 482193195 642924260 707216686 771509112 964386390 1060825029 1285848520 1414433372 1768041715 1928772780 2121650058 2828866744 3536083430 3857545560 4243300116 5304125145 7072166860 8486600232 10608250290 14144333720 21216500580 42433001160