Search a number
-
+
1345405430100 = 2235242043106669
BaseRepresentation
bin10011100101000000011…
…010011010100101010100
311202121201121200021211110
4103211000122122211110
5134020342242230400
62510023135335020
7166126254315534
oct23450032324524
94677647607743
101345405430100
11479646321936
121988b9681470
1399b42ccb644
14491919d34c4
1524ee524ae50
hex1394069a954

1345405430100 has 72 divisors (see below), whose sum is σ = 3892835460640. Its totient is φ = 358762884480.

The previous prime is 1345405430069. The next prime is 1345405430101. The reversal of 1345405430100 is 10345045431.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1345405430101) 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 23 ways as a sum of consecutive naturals, for example, 12559566 + ... + 12666234.

Almost surely, 21345405430100 is an apocalyptic number.

1345405430100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1345405430100 is an abundant number, since it is smaller than the sum of its proper divisors (2547430030540).

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

1345405430100 is a wasteful number, since it uses less digits than its factorization.

1345405430100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148729 (or 148722 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 1345405430100 in words is "one trillion, three hundred forty-five billion, four hundred five million, four hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 42043 84086 106669 126129 168172 210215 213338 252258 320007 420430 426676 504516 533345 630645 640014 840860 1051075 1066690 1261290 1280028 1600035 2102150 2133380 2522580 2666725 3153225 3200070 4204300 5333450 6306450 6400140 8000175 10666900 12612900 16000350 32000700 4484684767 8969369534 13454054301 17938739068 22423423835 26908108602 44846847670 53816217204 67270271505 89693695340 112117119175 134540543010 224234238350 269081086020 336351357525 448468476700 672702715050 1345405430100