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144322022031400 = 23526188513133649
BaseRepresentation
bin100000110100001010010110…
…110110110100000000101000
3200221000001100212012101011001
4200310022112312310000220
5122404033000120001100
61230540342134444344
742253631150302663
oct4064122666640050
9627001325171131
10144322022031400
1141a92697a73264
121422a6a92036b4
13626b67b901935
14278d31a4066da
1511a4231186d6a
hex834296db4028

144322022031400 has 96 divisors (see below), whose sum is σ = 341055904563000. Its totient is φ = 56781368524800.

The previous prime is 144322022031389. The next prime is 144322022031409. The reversal of 144322022031400 is 4130220223441.

It can be written as a sum of positive squares in 12 ways, for example, as 8036057022436 + 136285965008964 = 2834794^2 + 11674158^2 .

It is not an unprimeable number, because it can be changed into a prime (144322022031409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1079791776 + ... + 1079925424.

Almost surely, 2144322022031400 is an apocalyptic number.

144322022031400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144322022031400 is an abundant number, since it is smaller than the sum of its proper divisors (196733882531600).

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

144322022031400 is a wasteful number, since it uses less digits than its factorization.

144322022031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222239 (or 222230 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 144322022031400 its reverse (4130220223441), we get a palindrome (148452242254841).

The spelling of 144322022031400 in words is "one hundred forty-four trillion, three hundred twenty-two billion, twenty-two million, thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 200 244 305 488 610 1220 1525 2440 3050 6100 12200 88513 133649 177026 267298 354052 442565 534596 668245 708104 885130 1069192 1336490 1770260 2212825 2672980 3341225 3540520 4425650 5345960 5399293 6682450 8152589 8851300 10798586 13364900 16305178 17702600 21597172 26729800 26996465 32610356 40762945 43194344 53992930 65220712 81525890 107985860 134982325 163051780 203814725 215971720 269964650 326103560 407629450 539929300 815258900 1079858600 1630517800 11829673937 23659347874 47318695748 59148369685 94637391496 118296739370 236593478740 295741848425 473186957480 591483696850 721610110157 1182967393700 1443220220314 2365934787400 2886440440628 3608050550785 5772880881256 7216101101570 14432202203140 18040252753925 28864404406280 36080505507850 72161011015700 144322022031400