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3342150144200 = 2352721144329803
BaseRepresentation
bin110000101000100111101…
…011000001000011001000
3102211111200012010111001002
4300220213223001003020
5414224210414103300
611035210152314132
7463314411332300
oct60504753010310
912744605114032
103342150144200
11107944169919a
1245b8933a2948
131b3218007b2a
14b7a91dc6600
155be0c5595d5
hex30a27ac10c8

3342150144200 has 144 divisors (see below), whose sum is σ = 9040245248880. Its totient is φ = 1145741466240.

The previous prime is 3342150144197. The next prime is 3342150144209. The reversal of 3342150144200 is 24410512433.

It is a super-2 number, since 2×33421501442002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3342150144209) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112126499 + ... + 112156301.

It is an arithmetic number, because the mean of its divisors is an integer number (62779480895).

Almost surely, 23342150144200 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 3342150144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520122624440).

3342150144200 is an abundant number, since it is smaller than the sum of its proper divisors (5698095104680).

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

3342150144200 is a wasteful number, since it uses less digits than its factorization.

3342150144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41276 (or 41260 counting only the distinct ones).

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

Adding to 3342150144200 its reverse (24410512433), we get a palindrome (3366560656633).

The spelling of 3342150144200 in words is "three trillion, three hundred forty-two billion, one hundred fifty million, one hundred forty-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 11443 22886 29803 45772 57215 59606 80101 91544 114430 119212 149015 160202 208621 228860 238424 286075 298030 320404 400505 417242 457720 560707 572150 596060 640808 745075 801010 834484 1043105 1121414 1144300 1192120 1460347 1490150 1602020 1668968 2002525 2086210 2242828 2288600 2803535 2920694 2980300 3204040 4005050 4172420 4485656 5215525 5607070 5841388 5960600 7301735 8010100 8344840 10431050 11214140 11682776 14017675 14603470 16020200 20862100 22428280 28035350 29206940 36508675 41724200 56070700 58413880 73017350 112141400 146034700 292069400 341035729 682071458 1364142916 1705178645 2387250103 2728285832 3410357290 4774500206 6820714580 8525893225 9549000412 11936250515 13641429160 16710750721 17051786450 19098000824 23872501030 33421501442 34103572900 47745002060 59681252575 66843002884 68207145800 83553753605 95490004120 119362505150 133686005768 167107507210 238725010300 334215014420 417768768025 477450020600 668430028840 835537536050 1671075072100 3342150144200