Search a number
-
+
35434153100000 = 2555354341531
BaseRepresentation
bin10000000111010001010000…
…00110111100001011100000
311122110110202001110111102202
420003220220012330023200
514121023121143200000
6203210120351232332
710315014226535444
oct1003505006741340
9148413661414382
1035434153100000
11103215a3727496
123b834622186a8
1316a0570771255
148a7044b48824
15416acc435dd5
hex203a281bc2e0

35434153100000 has 72 divisors (see below), whose sum is σ = 87195655511496. Its totient is φ = 14173661200000.

The previous prime is 35434153099967. The next prime is 35434153100009. The reversal of 35434153100000 is 135143453.

It is a super-2 number, since 2×354341531000002 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35434153100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177070766 + ... + 177270765.

It is an arithmetic number, because the mean of its divisors is an integer number (1211050770993).

Almost surely, 235434153100000 is an apocalyptic number.

It is an amenable number.

35434153100000 is an abundant number, since it is smaller than the sum of its proper divisors (51761502411496).

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

35434153100000 is an frugal number, since it uses more digits than its factorization.

35434153100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354341566 (or 354341538 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 35434153100000 its reverse (135143453), we get a palindrome (35434288243453).

The spelling of 35434153100000 in words is "thirty-five trillion, four hundred thirty-four billion, one hundred fifty-three million, one hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 354341531 708683062 1417366124 1771707655 2834732248 3543415310 5669464496 7086830620 8858538275 11338928992 14173661240 17717076550 28347322480 35434153100 44292691375 56694644960 70868306200 88585382750 141736612400 177170765500 221463456875 283473224800 354341531000 442926913750 708683062000 885853827500 1107317284375 1417366124000 1771707655000 2214634568750 3543415310000 4429269137500 7086830620000 8858538275000 17717076550000 35434153100000