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3425040504300 = 22352191369143889
BaseRepresentation
bin110001110101110100010…
…100101001010111101100
3110010102121221222001201010
4301311310110221113230
5422103440332114200
611141235240345220
7502310460634602
oct61656424512754
913112557861633
103425040504300
11110060808a628
12473967175210
131bac97bb699c
14bbab6987872
155e15e661150
hex31d745295ec

3425040504300 has 144 divisors (see below), whose sum is σ = 10432351036800. Its totient is φ = 865190476800.

The previous prime is 3425040504287. The next prime is 3425040504317. The reversal of 3425040504300 is 34050405243.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78016756 + ... + 78060644.

It is an arithmetic number, because the mean of its divisors is an integer number (72446882200).

Almost surely, 23425040504300 is an apocalyptic number.

3425040504300 is a gapful number since it is divisible by the number (30) 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 3425040504300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5216175518400).

3425040504300 is an abundant number, since it is smaller than the sum of its proper divisors (7007310532500).

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

3425040504300 is a wasteful number, since it uses less digits than its factorization.

3425040504300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57616 (or 57609 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

Adding to 3425040504300 its reverse (34050405243), we get a palindrome (3459090909543).

The spelling of 3425040504300 in words is "three trillion, four hundred twenty-five billion, forty million, five hundred four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 13691 27382 41073 43889 54764 68455 82146 87778 131667 136910 164292 175556 205365 219445 260129 263334 273820 342275 410730 438890 520258 526668 658335 684550 780387 821460 833891 877780 1026825 1040516 1097225 1300645 1316670 1369100 1560774 1667782 2053650 2194450 2501673 2601290 2633340 3121548 3291675 3335564 3901935 4107300 4169455 4388900 5003346 5202580 6503225 6583350 7803870 8338910 10006692 12508365 13006450 13166700 15607740 16677820 19509675 20847275 25016730 26012900 39019350 41694550 50033460 62541825 78038700 83389100 125083650 250167300 600884299 1201768598 1802652897 2403537196 3004421495 3605305794 6008842990 7210611588 9013264485 11416801681 12017685980 15022107475 18026528970 22833603362 30044214950 34250405043 36053057940 45066322425 45667206724 57084008405 60088429900 68500810086 90132644850 114168016810 137001620172 171252025215 180265289700 228336033620 285420042025 342504050430 570840084050 685008100860 856260126075 1141680168100 1712520252150 3425040504300