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35241414001050 = 23522329352238021
BaseRepresentation
bin10000000001101010001111…
…11101101000000110011010
311121210001020201211210200110
420000311013331220012122
514104343403441013200
6202541403155345150
710265052043324245
oct1000650775500632
9147701221753613
1035241414001050
1110257888509764
123b520322b21b6
13168833581643a
1489b99d0da25c
15411a9b664b50
hex200d47f6819a

35241414001050 has 96 divisors (see below), whose sum is σ = 94343431812480. Its totient is φ = 8679144812800.

The previous prime is 35241414000979. The next prime is 35241414001093. The reversal of 35241414001050 is 5010041414253.

It is a super-2 number, since 2×352414140010502 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 35241414000999 and 35241414001017.

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, 176018961 + ... + 176219060.

It is an arithmetic number, because the mean of its divisors is an integer number (982744081380).

Almost surely, 235241414001050 is an apocalyptic number.

35241414001050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

35241414001050 is an abundant number, since it is smaller than the sum of its proper divisors (59102017811430).

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

35241414001050 is a wasteful number, since it uses less digits than its factorization.

35241414001050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352238088 (or 352238083 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 35241414001050 in words is "thirty-five trillion, two hundred forty-one billion, four hundred fourteen million, one thousand, fifty".

Divisors: 1 2 3 5 6 10 15 23 25 29 30 46 50 58 69 75 87 115 138 145 150 174 230 290 345 435 575 667 690 725 870 1150 1334 1450 1725 2001 2175 3335 3450 4002 4350 6670 10005 16675 20010 33350 50025 100050 352238021 704476042 1056714063 1761190105 2113428126 3522380210 5283570315 8101474483 8805950525 10214902609 10567140630 16202948966 17611901050 20429805218 24304423449 26417851575 30644707827 40507372415 48608846898 51074513045 52835703150 61289415654 81014744830 102149026090 121522117245 153223539135 202536862075 234942760007 243044234490 255372565225 306447078270 405073724150 469885520014 510745130450 607610586225 704828280021 766117695675 1174713800035 1215221172450 1409656560042 1532235391350 2349427600070 3524141400105 5873569000175 7048282800210 11747138000350 17620707000525 35241414001050