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1144244114120 = 235671289331231
BaseRepresentation
bin10000101001101010010…
…000111001001011001000
311001101111100011122022002
4100221222100321023020
5122221402443122440
62233354122250132
7145445302330622
oct20515220711310
94041440148262
101144244114120
114012a8a76868
12165919056948
1383b95210863
143d54b5b1c12
151eb6ed7d115
hex10a6a4392c8

1144244114120 has 64 divisors (see below), whose sum is σ = 2615010393600. Its totient is φ = 450515197440.

The previous prime is 1144244114099. The next prime is 1144244114149. The reversal of 1144244114120 is 214114424411.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3288905 + ... + 3620135.

It is an arithmetic number, because the mean of its divisors is an integer number (40859537400).

Almost surely, 21144244114120 is an apocalyptic number.

1144244114120 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 1144244114120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307505196800).

1144244114120 is an abundant number, since it is smaller than the sum of its proper divisors (1470766279480).

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

1144244114120 is a wasteful number, since it uses less digits than its factorization.

1144244114120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332598 (or 332594 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

Adding to 1144244114120 its reverse (214114424411), we get a palindrome (1358358538531).

The spelling of 1144244114120 in words is "one trillion, one hundred forty-four billion, two hundred forty-four million, one hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 134 268 335 536 670 1289 1340 2578 2680 5156 6445 10312 12890 25780 51560 86363 172726 331231 345452 431815 662462 690904 863630 1324924 1656155 1727260 2649848 3312310 3454520 6624620 13249240 22192477 44384954 88769908 110962385 177539816 221924770 426956759 443849540 853913518 887699080 1707827036 2134783795 3415654072 4269567590 8539135180 17078270360 28606102853 57212205706 114424411412 143030514265 228848822824 286061028530 572122057060 1144244114120