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112452323040 = 25325349223759
BaseRepresentation
bin110100010111010101…
…1100100011011100000
3101202020222212220011100
41220232223210123200
53320300243314130
6123354311314400
711060446655211
oct1505653443340
9352228786140
10112452323040
114376644a772
121996407ba00
13a7b15a5425
14562ab83408
152dd2556c60
hex1a2eae46e0

112452323040 has 144 divisors (see below), whose sum is σ = 384844824000. Its totient is φ = 29901229056.

The previous prime is 112452322967. The next prime is 112452323047. The reversal of 112452323040 is 40323254211.

112452323040 is a `hidden beast` number, since 1 + 124 + 5 + 232 + 304 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 112452322995 and 112452323013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112452323047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 390681 + ... + 614439.

It is an arithmetic number, because the mean of its divisors is an integer number (2672533500).

Almost surely, 2112452323040 is an apocalyptic number.

112452323040 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 112452323040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192422412000).

112452323040 is an abundant number, since it is smaller than the sum of its proper divisors (272392500960).

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

112452323040 is a wasteful number, since it uses less digits than its factorization.

112452323040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224129 (or 224118 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 112452323040 its reverse (40323254211), we get a palindrome (152775577251).

The spelling of 112452323040 in words is "one hundred twelve billion, four hundred fifty-two million, three hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 349 360 480 698 720 1047 1396 1440 1745 2094 2792 3141 3490 4188 5235 5584 6282 6980 8376 10470 11168 12564 13960 15705 16752 20940 25128 27920 31410 33504 41880 50256 55840 62820 83760 100512 125640 167520 223759 251280 447518 502560 671277 895036 1118795 1342554 1790072 2013831 2237590 2685108 3356385 3580144 4027662 4475180 5370216 6712770 7160288 8055324 8950360 10069155 10740432 13425540 16110648 17900720 20138310 21480864 26851080 32221296 35801440 40276620 53702160 64442592 78091891 80553240 107404320 156183782 161106480 234275673 312367564 322212960 390459455 468551346 624735128 702827019 780918910 937102692 1171378365 1249470256 1405654038 1561837820 1874205384 2342756730 2498940512 2811308076 3123675640 3514135095 3748410768 4685513460 5622616152 6247351280 7028270190 7496821536 9371026920 11245232304 12494702560 14056540380 18742053840 22490464608 28113080760 37484107680 56226161520 112452323040