Search a number
-
+
32240004000 = 253532686667
BaseRepresentation
bin11110000001101001…
…110110101110100000
310002012212020220012020
4132001221312232200
51012011420112000
622451051101440
72220636340521
oct360151665640
9102185226166
1032240004000
1112744707206
1262b9141880
13306a492059
1417bbb3a848
15c8a5e8ba0
hex781a76ba0

32240004000 has 96 divisors (see below), whose sum is σ = 105618292416. Its totient is φ = 8597331200.

The previous prime is 32240003993. The next prime is 32240004011. The reversal of 32240004000 is 40004223.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 1331334 + ... + 1355333.

It is an arithmetic number, because the mean of its divisors is an integer number (1100190546).

Almost surely, 232240004000 is an apocalyptic number.

32240004000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

32240004000 is an abundant number, since it is smaller than the sum of its proper divisors (73378288416).

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

32240004000 is a wasteful number, since it uses less digits than its factorization.

32240004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2686695 (or 2686677 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

Adding to 32240004000 its reverse (40004223), we get a palindrome (32280008223).

The spelling of 32240004000 in words is "thirty-two billion, two hundred forty million, four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 2686667 5373334 8060001 10746668 13433335 16120002 21493336 26866670 32240004 40300005 42986672 53733340 64480008 67166675 80600010 85973344 107466680 128960016 134333350 161200020 201500025 214933360 257920032 268666700 322400040 335833375 403000050 429866720 537333400 644800080 671666750 806000100 1007500125 1074666800 1289600160 1343333500 1612000200 2015000250 2149333600 2686667000 3224000400 4030000500 5373334000 6448000800 8060001000 10746668000 16120002000 32240004000