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42241101120 = 2632514667049
BaseRepresentation
bin100111010101110001…
…000000110101000000
311001000212002021021200
4213111301000311000
51143002210213440
631223313221200
73023526302211
oct472561006500
9131025067250
1042241101120
1116a07000529
12822a561800
133ca24749ba
14208a0a7408
151173621c30
hex9d5c40d40

42241101120 has 84 divisors (see below), whose sum is σ = 145291797300. Its totient is φ = 11264292864.

The previous prime is 42241101113. The next prime is 42241101173. The reversal of 42241101120 is 2110114224.

It can be written as a sum of positive squares in 2 ways, for example, as 27035251776 + 15205849344 = 164424^2 + 123312^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 42241101093 and 42241101102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7330645 + ... + 7336404.

Almost surely, 242241101120 is an apocalyptic number.

42241101120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42241101120 is an abundant number, since it is smaller than the sum of its proper divisors (103050696180).

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

42241101120 is a wasteful number, since it uses less digits than its factorization.

42241101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14667072 (or 14667059 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 42241101120 its reverse (2110114224), we get a palindrome (44351215344).

The spelling of 42241101120 in words is "forty-two billion, two hundred forty-one million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 14667049 29334098 44001147 58668196 73335245 88002294 117336392 132003441 146670490 176004588 220005735 234672784 264006882 293340980 352009176 440011470 469345568 528013764 586681960 660017205 704018352 880022940 938691136 1056027528 1173363920 1320034410 1408036704 1760045880 2112055056 2346727840 2640068820 2816073408 3520091760 4224110112 4693455680 5280137640 7040183520 8448220224 10560275280 14080367040 21120550560 42241101120