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4271542310040 = 23351091438722699
BaseRepresentation
bin111110001010001011110…
…000110001010010011000
3120010100121010110021221020
4332022023300301102120
51024441104312410130
613030153000042440
7620415541363365
oct76121360612230
916110533407836
104271542310040
1113a7607303235
1258ba2aa63420
1324ca5cc49635
1410aa5abd146c
15761a5145e10
hex3e28bc31498

4271542310040 has 128 divisors (see below), whose sum is σ = 12933660960000. Its totient is φ = 1128499527168.

The previous prime is 4271542310011. The next prime is 4271542310047. The reversal of 4271542310040 is 400132451724.

It is a junction number, because it is equal to n+sod(n) for n = 4271542309983 and 4271542310010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4271542310047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 188170611 + ... + 188193309.

It is an arithmetic number, because the mean of its divisors is an integer number (101044226250).

Almost surely, 24271542310040 is an apocalyptic number.

4271542310040 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 4271542310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6466830480000).

4271542310040 is an abundant number, since it is smaller than the sum of its proper divisors (8662118649960).

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

4271542310040 is a wasteful number, since it uses less digits than its factorization.

4271542310040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37209 (or 37205 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

Adding to 4271542310040 its reverse (400132451724), we get a palindrome (4671674761764).

The spelling of 4271542310040 in words is "four trillion, two hundred seventy-one billion, five hundred forty-two million, three hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3270 4360 6540 13080 14387 22699 28774 43161 45398 57548 68097 71935 86322 90796 113495 115096 136194 143870 172644 181592 215805 226990 272388 287740 340485 345288 431610 453980 544776 575480 680970 863220 907960 1361940 1568183 1726440 2474191 2723880 3136366 4704549 4948382 6272732 7422573 7840915 9409098 9896764 12370955 12545464 14845146 15681830 18818196 19793528 23522745 24741910 29690292 31363660 37112865 37636392 47045490 49483820 59380584 62727320 74225730 94090980 98967640 148451460 188181960 296902920 326570513 653141026 979711539 1306282052 1632852565 1959423078 2612564104 3265705130 3918846156 4898557695 6531410260 7837692312 9797115390 13062820520 19594230780 35596185917 39188461560 71192371834 106788557751 142384743668 177980929585 213577115502 284769487336 355961859170 427154231004 533942788755 711923718340 854308462008 1067885577510 1423847436680 2135771155020 4271542310040