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42710427144 = 2334711855989
BaseRepresentation
bin100111110001101111…
…010110011000001000
311002020120012111120000
4213301233112120020
51144432332132034
631342040403000
73041255432520
oct476157263010
9132216174500
1042710427144
1117127a17080
12833b776460
13404877a0c8
1420d2556680
15119e92b599
hex9f1bd6608

42710427144 has 160 divisors (see below), whose sum is σ = 149147697600. Its totient is φ = 11093604480.

The previous prime is 42710427131. The next prime is 42710427169. The reversal of 42710427144 is 44172401724.

42710427144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42710427099 and 42710427108.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 378099 + ... + 477890.

It is an arithmetic number, because the mean of its divisors is an integer number (932173110).

Almost surely, 242710427144 is an apocalyptic number.

42710427144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42710427144 is an abundant number, since it is smaller than the sum of its proper divisors (106437270456).

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

42710427144 is a wasteful number, since it uses less digits than its factorization.

42710427144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856025 (or 856012 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

Adding to 42710427144 its reverse (44172401724), we get a palindrome (86882828868).

The spelling of 42710427144 in words is "forty-two billion, seven hundred ten million, four hundred twenty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 297 308 324 378 396 462 504 567 594 616 648 693 756 792 891 924 1134 1188 1386 1512 1782 1848 2079 2268 2376 2772 3564 4158 4536 5544 6237 7128 8316 12474 16632 24948 49896 855989 1711978 2567967 3423956 5135934 5991923 6847912 7703901 9415879 10271868 11983846 15407802 17975769 18831758 20543736 23111703 23967692 28247637 30815604 35951538 37663516 46223406 47935384 53927307 56495274 61631208 65911153 69335109 71903076 75327032 84742911 92446812 107854614 112990548 131822306 138670218 143806152 161781921 169485822 184893624 197733459 215709228 225981096 254228733 263644612 277340436 323563842 338971644 395466918 431418456 485345763 508457466 527289224 554680872 593200377 647127684 677943288 762686199 790933836 970691526 1016914932 1186400754 1294255368 1525372398 1581867672 1779601131 1941383052 2033829864 2372801508 3050744796 3559202262 3882766104 4745603016 5338803393 6101489592 7118404524 10677606786 14236809048 21355213572 42710427144