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23000201155440 = 24325233137101819
BaseRepresentation
bin1010011101011001001101…
…10100011101001101110000
310000102210112120020112111100
411032230212310131031300
511003313402443433230
6120530051353044400
74562465266045005
oct516544664351560
9100383476215440
1023000201155440
11736836aa35883
1226b57149b6700
13caaba96b3b12
14597303b578ac
1529d44c0b1660
hex14eb26d1d370

23000201155440 has 120 divisors (see below), whose sum is σ = 77573854977840. Its totient is φ = 6107063380992.

The previous prime is 23000201155429. The next prime is 23000201155453. The reversal of 23000201155440 is 4455110200032.

23000201155440 is a `hidden beast` number, since 2 + 3 + 0 + 0 + 0 + 2 + 0 + 115 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×230002011554402 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 68383150 + ... + 68718669.

It is an arithmetic number, because the mean of its divisors is an integer number (646448791482).

Almost surely, 223000201155440 is an apocalyptic number.

23000201155440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23000201155440 is an abundant number, since it is smaller than the sum of its proper divisors (54573653822400).

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

23000201155440 is a wasteful number, since it uses less digits than its factorization.

23000201155440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137102071 (or 137102062 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 23000201155440 its reverse (4455110200032), we get a palindrome (27455311355472).

The spelling of 23000201155440 in words is "twenty-three trillion, two hundred one million, one hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 233 240 360 466 699 720 932 1165 1398 1864 2097 2330 2796 3495 3728 4194 4660 5592 6990 8388 9320 10485 11184 13980 16776 18640 20970 27960 33552 41940 55920 83880 167760 137101819 274203638 411305457 548407276 685509095 822610914 1096814552 1233916371 1371018190 1645221828 2056527285 2193629104 2467832742 2742036380 3290443656 4113054570 4935665484 5484072760 6169581855 6580887312 8226109140 9871330968 10968145520 12339163710 16452218280 19742661936 24678327420 31944723827 32904436560 49356654840 63889447654 95834171481 98713309680 127778895308 159723619135 191668342962 255557790616 287502514443 319447238270 383336685924 479170857405 511115581232 575005028886 638894476540 766673371848 958341714810 1150010057772 1277788953080 1437512572215 1533346743696 1916683429620 2300020115544 2555577906160 2875025144430 3833366859240 4600040231088 5750050288860 7666733718480 11500100577720 23000201155440