Search a number
-
+
144364371080100 = 22352617888763447
BaseRepresentation
bin100000110100110001110011…
…000011100111001110100100
3200221011002200020101221200020
4200310301303003213032210
5122410231212444030400
61231012024305515140
742256660460261163
oct4064616303471644
9627132606357606
10144364371080100
1141aa96499a3366
1214236947942ab0
13627266a540732
1427913b696d3da
1511a53adecd2a0
hex834c730e73a4

144364371080100 has 72 divisors (see below), whose sum is σ = 424541693717568. Its totient is φ = 37866064540800.

The previous prime is 144364371080081. The next prime is 144364371080117. The reversal of 144364371080100 is 1080173463441.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3944363424 + ... + 3944400023.

It is an arithmetic number, because the mean of its divisors is an integer number (5896412412744).

Almost surely, 2144364371080100 is an apocalyptic number.

144364371080100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144364371080100 is an abundant number, since it is smaller than the sum of its proper divisors (280177322637468).

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

144364371080100 is a wasteful number, since it uses less digits than its factorization.

144364371080100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7888763525 (or 7888763518 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 144364371080100 in words is "one hundred forty-four trillion, three hundred sixty-four billion, three hundred seventy-one million, eighty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 3050 3660 4575 6100 9150 18300 7888763447 15777526894 23666290341 31555053788 39443817235 47332580682 78887634470 94665161364 118331451705 157775268940 197219086175 236662903410 394438172350 473325806820 481214570267 591657258525 788876344700 962429140534 1183314517050 1443643710801 1924858281068 2366629034100 2406072851335 2887287421602 4812145702670 5774574843204 7218218554005 9624291405340 12030364256675 14436437108010 24060728513350 28872874216020 36091092770025 48121457026700 72182185540050 144364371080100