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4335142241000 = 2353277130312011
BaseRepresentation
bin111111000101011010100…
…111010000001011101000
3120100102202111221112120202
4333011122213100023220
51032011332403203000
613115311543211332
7625126603024544
oct77053247201350
916312674845522
104335142241000
11142158386174a
125a021a446b48
13255a5746138c
1410db71816a24
1577b78944dd5
hex3f15a9d02e8

4335142241000 has 128 divisors (see below), whose sum is σ = 10189516296960. Its totient is φ = 1726327008000.

The previous prime is 4335142240999. The next prime is 4335142241041. The reversal of 4335142241000 is 1422415334.

4335142241000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 360924995 + ... + 360937005.

It is an arithmetic number, because the mean of its divisors is an integer number (79605596070).

Almost surely, 24335142241000 is an apocalyptic number.

4335142241000 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 4335142241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5094758148480).

4335142241000 is an abundant number, since it is smaller than the sum of its proper divisors (5854374055960).

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

4335142241000 is a wasteful number, since it uses less digits than its factorization.

4335142241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13612 (or 13598 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 4335142241000 its reverse (1422415334), we get a palindrome (4336564656334).

The spelling of 4335142241000 in words is "four trillion, three hundred thirty-five billion, one hundred forty-two million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 277 500 554 1000 1108 1303 1385 2216 2606 2770 5212 5540 6515 6925 10424 11080 12011 13030 13850 24022 26060 27700 32575 34625 48044 52120 55400 60055 65150 69250 96088 120110 130300 138500 162875 240220 260600 277000 300275 325750 360931 480440 600550 651500 721862 1201100 1303000 1443724 1501375 1804655 2402200 2887448 3002750 3327047 3609310 6005500 6654094 7218620 9023275 12011000 13308188 14437240 15650333 16635235 18046550 26616376 31300666 33270470 36093100 45116375 62601332 66540940 72186200 78251665 83176175 90232750 125202664 133081880 156503330 166352350 180465500 313006660 332704700 360931000 391258325 415880875 626013320 665409400 782516650 831761750 1565033300 1663523500 1956291625 3130066600 3327047000 3912583250 4335142241 7825166500 8670284482 15650333000 17340568964 21675711205 34681137928 43351422410 86702844820 108378556025 173405689640 216757112050 433514224100 541892780125 867028448200 1083785560250 2167571120500 4335142241000