Search a number
-
+
112533304154440 = 235132776411218821
BaseRepresentation
bin11001100101100100110011…
…100111101001100101001000
3112202110002010110020200111011
4121211210303213221211020
5104222221201330420230
61035201030343413304
732463156116530411
oct3145446347514510
9482402113220434
10112533304154440
1132947119504654
121075585ba54234
134aa3aca753950
141db08d8bda808
15d023b2070e2a
hex6659339e9948

112533304154440 has 128 divisors (see below), whose sum is σ = 274088398842720. Its totient is φ = 41336134041600.

The previous prime is 112533304154417. The next prime is 112533304154483. The reversal of 112533304154440 is 44451403335211.

It can be written as a sum of positive squares in 16 ways, for example, as 1032755932516 + 111500548221924 = 1016246^2 + 10559382^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 112533304154393 and 112533304154402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91720230 + ... + 92939050.

Almost surely, 2112533304154440 is an apocalyptic number.

112533304154440 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 112533304154440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137044199421360).

112533304154440 is an abundant number, since it is smaller than the sum of its proper divisors (161555094688280).

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

112533304154440 is a wasteful number, since it uses less digits than its factorization.

112533304154440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1219763 (or 1219759 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 112533304154440 its reverse (44451403335211), we get a palindrome (156984707489651).

The spelling of 112533304154440 in words is "one hundred twelve trillion, five hundred thirty-three billion, three hundred four million, one hundred fifty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 277 520 554 641 1108 1282 1385 2216 2564 2770 3205 3601 5128 5540 6410 7202 8333 11080 12820 14404 16666 18005 25640 28808 33332 36010 41665 66664 72020 83330 144040 166660 177557 333320 355114 710228 887785 1218821 1420456 1775570 2308241 2437642 3551140 4616482 4875284 6094105 7102280 9232964 9750568 11541205 12188210 15844673 18465928 23082410 24376420 31689346 46164820 48752840 63378692 79223365 92329640 126757384 158446730 316893460 337613417 633786920 675226834 781264261 1350453668 1562528522 1688067085 2700907336 3125057044 3376134170 3906321305 4388974421 6250114088 6752268340 7812642610 8777948842 10156435393 13504536680 15625285220 17555897684 20312870786 21944872105 31250570440 35111795368 40625741572 43889744210 50782176965 81251483144 87779488420 101564353930 175558976840 203128707860 216410200297 406257415720 432820400594 865640801188 1082051001485 1731281602376 2164102002970 2813332603861 4328204005940 5626665207722 8656408011880 11253330415444 14066663019305 22506660830888 28133326038610 56266652077220 112533304154440