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352013042000 = 2453376770999
BaseRepresentation
bin1010001111101011001…
…11001100000101010000
31020122121101122022212002
411013311213030011100
521231410314321000
6425413525053132
734301132326244
oct5076547140520
91218541568762
10352013042000
11126319204624
12582805571a8
132726b961039
1413074d64424
159253b408d5
hex51f59cc150

352013042000 has 160 divisors (see below), whose sum is σ = 887231904000. Its totient is φ = 134952998400.

The previous prime is 352013041997. The next prime is 352013042023. The reversal of 352013042000 is 240310253.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 4922501 + ... + 4993499.

It is an arithmetic number, because the mean of its divisors is an integer number (5545199400).

Almost surely, 2352013042000 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 352013042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443615952000).

352013042000 is an abundant number, since it is smaller than the sum of its proper divisors (535218862000).

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

352013042000 is a wasteful number, since it uses less digits than its factorization.

352013042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71126 (or 71110 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

Adding to 352013042000 its reverse (240310253), we get a palindrome (352253352253).

The spelling of 352013042000 in words is "three hundred fifty-two billion, thirteen million, forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 37 40 50 67 74 80 100 125 134 148 185 200 250 268 296 335 370 400 500 536 592 670 740 925 1000 1072 1340 1480 1675 1850 2000 2479 2680 2960 3350 3700 4625 4958 5360 6700 7400 8375 9250 9916 12395 13400 14800 16750 18500 19832 24790 26800 33500 37000 39664 49580 61975 67000 70999 74000 99160 123950 134000 141998 198320 247900 283996 309875 354995 495800 567992 619750 709990 991600 1135984 1239500 1419980 1774975 2479000 2626963 2839960 3549950 4756933 4958000 5253926 5679920 7099900 8874875 9513866 10507852 13134815 14199800 17749750 19027732 21015704 23784665 26269630 28399600 35499500 38055464 42031408 47569330 52539260 65674075 70999000 76110928 95138660 105078520 118923325 131348150 141998000 176006521 190277320 210157040 237846650 262696300 328370375 352013042 380554640 475693300 525392600 594616625 656740750 704026084 880032605 951386600 1050785200 1189233250 1313481500 1408052168 1760065210 1902773200 2378466500 2626963000 2816104336 3520130420 4400163025 4756933000 5253926000 7040260840 8800326050 9513866000 14080521680 17600652100 22000815125 35201304200 44001630250 70402608400 88003260500 176006521000 352013042000