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20034365500240 = 2457132897949939
BaseRepresentation
bin1001000111000100111010…
…01111010010101101010000
32121221021012101012210112221
410203202131033102231100
510111220340032001430
6110335354354030424
74135302152656450
oct443423517225520
977837171183487
1020034365500240
116424588037003
1222b6964578414
13b24303c1c970
144d395039dd60
1524b216d8157a
hex12389d3d2b50

20034365500240 has 160 divisors (see below), whose sum is σ = 57348956931840. Its totient is φ = 6338351112192.

The previous prime is 20034365500229. The next prime is 20034365500397. The reversal of 20034365500240 is 4200556343002.

It is a junction number, because it is equal to n+sod(n) for n = 20034365500196 and 20034365500205.

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, 20615191 + ... + 21565129.

It is an arithmetic number, because the mean of its divisors is an integer number (358430980824).

Almost surely, 220034365500240 is an apocalyptic number.

20034365500240 is a gapful number since it is divisible by the number (20) 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 20034365500240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28674478465920).

20034365500240 is an abundant number, since it is smaller than the sum of its proper divisors (37314591431600).

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

20034365500240 is a wasteful number, since it uses less digits than its factorization.

20034365500240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952869 (or 952863 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 34.

The spelling of 20034365500240 in words is "twenty trillion, thirty-four billion, three hundred sixty-five million, five hundred thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 2897 3640 5794 7280 11588 14485 20279 23176 28970 37661 40558 46352 57940 75322 81116 101395 115880 150644 162232 188305 202790 231760 263627 301288 324464 376610 405580 527254 602576 753220 811160 949939 1054508 1318135 1506440 1622320 1899878 2109016 2636270 3012880 3799756 4218032 4749695 5272540 6649573 7599512 9499390 10545080 12349207 13299146 15199024 18998780 21090160 24698414 26598292 33247865 37997560 49396828 53196584 61746035 66495730 75995120 86444449 98793656 106393168 123492070 132991460 172888898 197587312 246984140 265982920 345777796 432222245 493968280 531965840 691555592 864444490 987936560 1383111184 1728888980 2751973283 3457777960 5503946566 6915555920 11007893132 13759866415 19263812981 22015786264 27519732830 35775652679 38527625962 44031572528 55039465660 71551305358 77055251924 96319064905 110078931320 143102610716 154110503848 178878263395 192638129810 220157862640 250429568753 286205221432 308221007696 357756526790 385276259620 500859137506 572410442864 715513053580 770552519240 1001718275012 1252147843765 1431026107160 1541105038480 2003436550024 2504295687530 2862052214320 4006873100048 5008591375060 10017182750120 20034365500240