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10233230140400 = 2452733071141541
BaseRepresentation
bin1001010011101001110000…
…0011000010001111110000
31100020021202101212222022112
42110322130003002033300
52320130123403443100
633433025300224452
72104216661002151
oct224723403021760
940207671788275
1010233230140400
1132959856a8573
12119332809b128
13592cb2b02167
1427541064b928
1512b2ca894b35
hex94e9c0c23f0

10233230140400 has 120 divisors (see below), whose sum is σ = 25003322278704. Its totient is φ = 4024065484800.

The previous prime is 10233230140253. The next prime is 10233230140417. The reversal of 10233230140400 is 404103233201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8393630 + ... + 9535170.

Almost surely, 210233230140400 is an apocalyptic number.

10233230140400 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 10233230140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12501661139352).

10233230140400 is an abundant number, since it is smaller than the sum of its proper divisors (14770092138304).

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

10233230140400 is a wasteful number, since it uses less digits than its factorization.

10233230140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141939 (or 1141928 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10233230140400 its reverse (404103233201), we get a palindrome (10637333373601).

The spelling of 10233230140400 in words is "ten trillion, two hundred thirty-three billion, two hundred thirty million, one hundred forty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 73 80 100 146 200 292 307 365 400 584 614 730 1168 1228 1460 1535 1825 2456 2920 3070 3650 4912 5840 6140 7300 7675 12280 14600 15350 22411 24560 29200 30700 44822 61400 89644 112055 122800 179288 224110 358576 448220 560275 896440 1120550 1141541 1792880 2241100 2283082 4482200 4566164 5707705 8964400 9132328 11415410 18264656 22830820 28538525 45661640 57077050 83332493 91323280 114154100 166664986 228308200 333329972 350453087 416662465 456616400 666659944 700906174 833324930 1333319888 1401812348 1666649860 1752265435 2083312325 2803624696 3333299720 3504530870 4166624650 5607249392 6666599440 7009061740 8333249300 8761327175 14018123480 16666498600 17522654350 25583075351 28036246960 33332997200 35045308700 51166150702 70090617400 102332301404 127915376755 140181234800 204664602808 255830753510 409329205616 511661507020 639576883775 1023323014040 1279153767550 2046646028080 2558307535100 5116615070200 10233230140400