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4242233103000 = 233538831601447
BaseRepresentation
bin111101101110111000110…
…011000001001010011000
3120000112221112000022100120
4331232320303001022120
51024001043133244000
613004504402033240
7615330330261234
oct75567063011230
916015845008316
104242233103000
111396136aa0182
1258620b348820
1324a06ba1bc89
1410947a4055c4
157553bec16a0
hex3dbb8cc1298

4242233103000 has 128 divisors (see below), whose sum is σ = 13250765099520. Its totient is φ = 1129980297600.

The previous prime is 4242233102897. The next prime is 4242233103071. The reversal of 4242233103000 is 3013322424.

4242233103000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1848277 + ... + 3449723.

It is an arithmetic number, because the mean of its divisors is an integer number (103521602340).

Almost surely, 24242233103000 is an apocalyptic number.

4242233103000 is a gapful number since it is divisible by the number (40) 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 4242233103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6625382549760).

4242233103000 is an abundant number, since it is smaller than the sum of its proper divisors (9008531996520).

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

4242233103000 is a wasteful number, since it uses less digits than its factorization.

4242233103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602354 (or 1602340 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 4242233103000 its reverse (3013322424), we get a palindrome (4245246425424).

The spelling of 4242233103000 in words is "four trillion, two hundred forty-two billion, two hundred thirty-three million, one hundred three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 883 1000 1500 1766 2649 3000 3532 4415 5298 7064 8830 10596 13245 17660 21192 22075 26490 35320 44150 52980 66225 88300 105960 110375 132450 176600 220750 264900 331125 441500 529800 662250 883000 1324500 1601447 2649000 3202894 4804341 6405788 8007235 9608682 12811576 16014470 19217364 24021705 32028940 38434728 40036175 48043410 64057880 80072350 96086820 120108525 160144700 192173640 200180875 240217050 320289400 400361750 480434100 600542625 800723500 960868200 1201085250 1414077701 1601447000 2402170500 2828155402 4242233103 4804341000 5656310804 7070388505 8484466206 11312621608 14140777010 16968932412 21211165515 28281554020 33937864824 35351942525 42422331030 56563108040 70703885050 84844662060 106055827575 141407770100 169689324120 176759712625 212111655150 282815540200 353519425250 424223310300 530279137875 707038850500 848446620600 1060558275750 1414077701000 2121116551500 4242233103000