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4033330144340 = 2257372832751361
BaseRepresentation
bin111010101100010101001…
…101011110010001010100
3112021120201201020110112112
4322230111031132101110
51012040230004104330
612324515234410152
7564253452363440
oct72542515362124
915246651213475
104033330144340
111315586799402
1255182a130958
13233459098733
14dd2ddb6d820
156edb213d795
hex3ab1535e454

4033330144340 has 96 divisors (see below), whose sum is σ = 9976746764544. Its totient is φ = 1340726722560.

The previous prime is 4033330144247. The next prime is 4033330144357. The reversal of 4033330144340 is 434410333304.

4033330144340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4033330144297 and 4033330144306.

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, 90260 + ... + 2841620.

It is an arithmetic number, because the mean of its divisors is an integer number (103924445464).

Almost surely, 24033330144340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4033330144340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4988373382272).

4033330144340 is an abundant number, since it is smaller than the sum of its proper divisors (5943416620204).

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

4033330144340 is a wasteful number, since it uses less digits than its factorization.

4033330144340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751697 (or 2751695 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 4033330144340 its reverse (434410333304), we get a palindrome (4467740477644).

The spelling of 4033330144340 in words is "four trillion, thirty-three billion, three hundred thirty million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 283 370 518 566 740 1036 1132 1295 1415 1981 2590 2830 3962 5180 5660 7924 9905 10471 19810 20942 39620 41884 52355 73297 104710 146594 209420 293188 366485 732970 1465940 2751361 5502722 11005444 13756805 19259527 27513610 38519054 55027220 77038108 96297635 101800357 192595270 203600714 385190540 407201428 509001785 712602499 778635163 1018003570 1425204998 1557270326 2036007140 2850409996 3114540652 3563012495 3893175815 5450446141 7126024990 7786351630 10900892282 14252049980 15572703260 21801784564 27252230705 28809501031 54504461410 57619002062 109008922820 115238004124 144047505155 201666507217 288095010310 403333014434 576190020620 806666028868 1008332536085 2016665072170 4033330144340