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42311443431144 = 233113881115315359
BaseRepresentation
bin10011001111011011001101…
…00011100011111011101000
312112210221020020112102102210
421213231212203203323220
521021212314004244034
6225553335254525120
711624621004040236
oct1147554643437350
9175727206472383
1042311443431144
111253320083a368
1248b42a89667a0
131a7bc4b6c1b64
14a63c55c09956
154d593ed398e9
hex267b668e3ee8

42311443431144 has 128 divisors (see below), whose sum is σ = 106935452467200. Its totient is φ = 13950116167680.

The previous prime is 42311443431119. The next prime is 42311443431151. The reversal of 42311443431144 is 44113434411324.

It is a nude number because it is divisible by every one of its digits.

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, 2754822937 + ... + 2754838295.

It is an arithmetic number, because the mean of its divisors is an integer number (835433222400).

Almost surely, 242311443431144 is an apocalyptic number.

It is an amenable number.

42311443431144 is an abundant number, since it is smaller than the sum of its proper divisors (64624009036056).

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

42311443431144 is a wasteful number, since it uses less digits than its factorization.

42311443431144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17515 (or 17511 counting only the distinct ones).

The product of its digits is 221184, while the sum is 39.

Adding to 42311443431144 its reverse (44113434411324), we get a palindrome (86424877842468).

The spelling of 42311443431144 in words is "forty-two trillion, three hundred eleven billion, four hundred forty-three million, four hundred thirty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 113 226 339 452 678 881 904 1153 1356 1762 2306 2643 2712 3459 3524 4612 5286 6918 7048 9224 10572 13836 15359 21144 27672 30718 46077 61436 92154 99553 122872 130289 184308 199106 260578 298659 368616 390867 398212 521156 597318 781734 796424 1015793 1042312 1194636 1563468 1735567 2031586 2389272 3047379 3126936 3471134 4063172 5206701 6094758 6942268 8126344 10413402 12189516 13531279 13884536 17708927 20826804 24379032 27062558 35417854 40593837 41653608 53126781 54125116 70835708 81187674 106253562 108250232 114784609 141671416 162375348 212507124 229569218 324750696 344353827 425014248 459138436 688707654 918276872 1377415308 1529034527 2001108751 2754830616 3058069054 4002217502 4587103581 6003326253 6116138108 8004435004 9174207162 12006652506 12232276216 15601564687 16008870008 18348414324 24013305012 31203129374 36696828648 46804694061 48026610024 62406258748 93609388122 124812517496 187218776244 374437552488 1762976809631 3525953619262 5288930428893 7051907238524 10577860857786 14103814477048 21155721715572 42311443431144