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112421044340 = 225112536114369
BaseRepresentation
bin110100010110011010…
…0010000000001110100
3101202011211000202211222
41220230310100001310
53320214241404330
6123351233045512
711056620052523
oct1505464200164
9352154022758
10112421044340
114374a826600
12199556b6898
13a7a7c73417
1456269604ba
152dce9290e5
hex1a2cd10074

112421044340 has 144 divisors (see below), whose sum is σ = 268746705360. Its totient is φ = 39448780800.

The previous prime is 112421044327. The next prime is 112421044397. The reversal of 112421044340 is 43440124211.

It can be written as a sum of positive squares in 8 ways, for example, as 4708429924 + 107712614416 = 68618^2 + 328196^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7816676 + ... + 7831044.

It is an arithmetic number, because the mean of its divisors is an integer number (1866296565).

Almost surely, 2112421044340 is an apocalyptic number.

112421044340 is a gapful number since it is divisible by the number (10) 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 112421044340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134373352680).

112421044340 is an abundant number, since it is smaller than the sum of its proper divisors (156325661020).

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

112421044340 is a wasteful number, since it uses less digits than its factorization.

112421044340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14514 (or 14501 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 112421044340 its reverse (43440124211), we get a palindrome (155861168551).

The spelling of 112421044340 in words is "one hundred twelve billion, four hundred twenty-one million, forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 53 55 61 106 110 121 122 212 220 242 244 265 305 484 530 583 605 610 671 1060 1166 1210 1220 1342 2332 2420 2684 2915 3233 3355 5830 6413 6466 6710 7381 11660 12826 12932 13420 14369 14762 16165 25652 28738 29524 32065 32330 35563 36905 57476 64130 64660 71126 71845 73810 128260 142252 143690 147620 158059 177815 287380 316118 355630 391193 632236 711260 761557 782386 790295 876509 1523114 1564772 1580590 1738649 1753018 1955965 3046228 3161180 3477298 3506036 3807785 3911930 4382545 6954596 7615570 7823860 8377127 8693245 8765090 9641599 15231140 16754254 17386490 17530180 19283198 33508508 34772980 38566396 41885635 46454977 48207995 83771270 92148397 92909954 96415990 106057589 167542540 184296794 185819908 192831980 212115178 232274885 368593588 424230356 460741985 464549770 511004747 530287945 921483970 929099540 1022009494 1060575890 1842967940 2044018988 2121151780 2555023735 5110047470 5621052217 10220094940 11242104434 22484208868 28105261085 56210522170 112421044340