Search a number
-
+
40204140100 = 22522779371549
BaseRepresentation
bin100101011100010110…
…100111111001000100
310211202220011221001221
4211130112213321010
51124314224440400
630245230130124
72622203360305
oct453426477104
9124686157057
1040204140100
1116061209573
127960350944
133a39459117
141d3574a7ac
1510a48acc1a
hex95c5a7e44

40204140100 has 72 divisors (see below), whose sum is σ = 87707971400. Its totient is φ = 15996165120.

The previous prime is 40204140083. The next prime is 40204140113. The reversal of 40204140100 is 104140204.

40204140100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 31020367876 + 9183772224 = 176126^2 + 95832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25954126 + ... + 25955674.

Almost surely, 240204140100 is an apocalyptic number.

It is an amenable number.

40204140100 is an abundant number, since it is smaller than the sum of its proper divisors (47503831300).

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

40204140100 is a wasteful number, since it uses less digits than its factorization.

40204140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2777 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 40204140100 its reverse (104140204), we get a palindrome (40308280304).

The spelling of 40204140100 in words is "forty billion, two hundred four million, one hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 277 554 937 1108 1385 1549 1874 2770 3098 3748 4685 5540 6196 6925 7745 9370 13850 15490 18740 23425 27700 30980 38725 46850 77450 93700 154900 259549 429073 519098 858146 1038196 1297745 1451413 1716292 2145365 2595490 2902826 4290730 5190980 5805652 6488725 7257065 8581460 10726825 12977450 14514130 21453650 25954900 29028260 36285325 42907300 72570650 145141300 402041401 804082802 1608165604 2010207005 4020414010 8040828020 10051035025 20102070050 40204140100