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142440341024400 = 24352118700284187
BaseRepresentation
bin100000011000110001111001…
…111011011010111010010000
3200200100011102021102010120220
4200120301321323122322100
5122132220304300240100
61222540104520233040
742000655302531156
oct4030617173327220
9620304367363526
10142440341024400
1141427678107111
1213b85a8600b780
1361630b31c8333
14272621391d3d6
1511703007adaa0
hex818c79edae90

142440341024400 has 60 divisors (see below), whose sum is σ = 456283892418672. Its totient is φ = 37984090939520.

The previous prime is 142440341024279. The next prime is 142440341024413. The reversal of 142440341024400 is 4420143044241.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×1424403410244002 (a number of 29 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 59350140894 + ... + 59350143293.

Almost surely, 2142440341024400 is an apocalyptic number.

142440341024400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142440341024400 is an abundant number, since it is smaller than the sum of its proper divisors (313843551394272).

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

142440341024400 is a wasteful number, since it uses less digits than its factorization.

142440341024400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118700284208 (or 118700284197 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 142440341024400 its reverse (4420143044241), we get a palindrome (146860484068641).

The spelling of 142440341024400 in words is "one hundred forty-two trillion, four hundred forty billion, three hundred forty-one million, twenty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 118700284187 237400568374 356100852561 474801136748 593501420935 712201705122 949602273496 1187002841870 1424403410244 1780504262805 1899204546992 2374005683740 2848806820488 2967507104675 3561008525610 4748011367480 5697613640976 5935014209350 7122017051220 8902521314025 9496022734960 11870028418700 14244034102440 17805042628050 23740056837400 28488068204880 35610085256100 47480113674800 71220170512200 142440341024400