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10232311214440 = 23572313671162303
BaseRepresentation
bin1001010011100110010101…
…0001100111000101101000
31100020012101100202200212201
42110321211101213011220
52320121233132330230
633432354152345544
72104155132156550
oct224714521470550
940205340680781
1010232311214440
113295553a19927
1211931103a52b4
13592b976101a3
142753645a6160
1512b274d7a5ca
hex94e65467168

10232311214440 has 128 divisors (see below), whose sum is σ = 27475750748160. Its totient is φ = 3353231971584.

The previous prime is 10232311214381. The next prime is 10232311214453. The reversal of 10232311214440 is 4441211323201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10232311214399 and 10232311214408.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8222329 + ... + 9384631.

It is an arithmetic number, because the mean of its divisors is an integer number (214654302720).

Almost surely, 210232311214440 is an apocalyptic number.

10232311214440 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 10232311214440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13737875374080).

10232311214440 is an abundant number, since it is smaller than the sum of its proper divisors (17243439533720).

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

10232311214440 is a wasteful number, since it uses less digits than its factorization.

10232311214440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163711 (or 1163707 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10232311214440 its reverse (4441211323201), we get a palindrome (14673522537641).

The spelling of 10232311214440 in words is "ten trillion, two hundred thirty-two billion, three hundred eleven million, two hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1367 1610 2734 3220 5468 6440 6835 9569 10936 13670 19138 27340 31441 38276 47845 54680 62882 76552 95690 125764 157205 191380 220087 251528 314410 382760 440174 628820 880348 1100435 1162303 1257640 1760696 2200870 2324606 4401740 4649212 5811515 8136121 8803480 9298424 11623030 16272242 23246060 26732969 32544484 40680605 46492120 53465938 65088968 81361210 106931876 133664845 162722420 187130783 213863752 267329690 325444840 374261566 534659380 748523132 935653915 1069318760 1497046264 1588868201 1871307830 3177736402 3742615660 6355472804 7485231320 7944341005 11122077407 12710945608 15888682010 22244154814 31777364020 36543968623 44488309628 55610387035 63554728040 73087937246 88976619256 111220774070 146175874492 182719843115 222441548140 255807780361 292351748984 365439686230 444883096280 511615560722 730879372460 1023231121444 1279038901805 1461758744920 2046462242888 2558077803610 5116155607220 10232311214440