Search a number
-
+
40200042000 = 243536700007
BaseRepresentation
bin100101011100000110…
…111111011000010000
310211202121110201112110
4211130012333120100
51124312202321000
630245002225320
72622123501426
oct453406773020
9124677421473
1040200042000
111605996a608
12795aab5240
133a38652a01
141d34da1116
1510a434d850
hex95c1bf610

40200042000 has 80 divisors (see below), whose sum is σ = 129604954752. Its totient is φ = 10720009600.

The previous prime is 40200041963. The next prime is 40200042023. The reversal of 40200042000 is 24000204.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3344004 + ... + 3356003.

Almost surely, 240200042000 is an apocalyptic number.

40200042000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40200042000 is an abundant number, since it is smaller than the sum of its proper divisors (89404912752).

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

40200042000 is a wasteful number, since it uses less digits than its factorization.

40200042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6700033 (or 6700017 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 40200042000 its reverse (24000204), we get a palindrome (40224042204).

The spelling of 40200042000 in words is "forty billion, two hundred million, forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 6700007 13400014 20100021 26800028 33500035 40200042 53600056 67000070 80400084 100500105 107200112 134000140 160800168 167500175 201000210 268000280 321600336 335000350 402000420 502500525 536000560 670000700 804000840 837500875 1005001050 1340001400 1608001680 1675001750 2010002100 2512502625 2680002800 3350003500 4020004200 5025005250 6700007000 8040008400 10050010500 13400014000 20100021000 40200042000