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350425134315400 = 235226964911003463
BaseRepresentation
bin100111110101101011011010…
…1101001101011011110001000
31200221202022112010022201220011
41033223112311221223132020
5331412331133341043100
63241143030113241304
7133545244334236534
oct11753266551533610
91627668463281804
10350425134315400
11a17245128360a1
12333768a4563234
131206bc437693b1
14627694a350bc4
152a7a56676bbba
hex13eb5b5a6b788

350425134315400 has 96 divisors (see below), whose sum is σ = 817894004558400. Its totient is φ = 139627322067200.

The previous prime is 350425134315317. The next prime is 350425134315427. The reversal of 350425134315400 is 4513431524053.

It is a super-2 number, since 2×3504251343154002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 348714069 + ... + 349717531.

It is an arithmetic number, because the mean of its divisors is an integer number (8519729214150).

Almost surely, 2350425134315400 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 350425134315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408947002279200).

350425134315400 is an abundant number, since it is smaller than the sum of its proper divisors (467468870243000).

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

350425134315400 is a wasteful number, since it uses less digits than its factorization.

350425134315400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010239 (or 1010230 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

Adding to 350425134315400 its reverse (4513431524053), we get a palindrome (354938565839453).

The spelling of 350425134315400 in words is "three hundred fifty trillion, four hundred twenty-five billion, one hundred thirty-four million, three hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 269 538 1076 1345 2152 2690 5380 6491 6725 10760 12982 13450 25964 26900 32455 51928 53800 64910 129820 162275 259640 324550 649100 1003463 1298200 1746079 2006926 3492158 4013852 5017315 6984316 8027704 8730395 10034630 13968632 17460790 20069260 25086575 34921580 40138520 43651975 50173150 69843160 87303950 100346300 174607900 200692600 269931547 349215800 539863094 1079726188 1349657735 2159452376 2699315470 5398630940 6513478333 6748288675 10797261880 13026956666 13496577350 26053913332 26993154700 32567391665 52107826664 53986309400 65134783330 130269566660 162836958325 260539133320 325673916650 651347833300 1302695666600 1752125671577 3504251343154 7008502686308 8760628357885 14017005372616 17521256715770 35042513431540 43803141789425 70085026863080 87606283578850 175212567157700 350425134315400