Search a number
-
+
40141120020 = 223516311093701
BaseRepresentation
bin100101011000100110…
…001110001000010100
310211121111121011202220
4211120212032020110
51124202111320040
630235055302340
72620506614301
oct453046161024
9124544534686
1040141120020
1116029685661
12794321a9b0
133a29392631
141d2b2240a8
15109e0b02d0
hex95898e214

40141120020 has 96 divisors (see below), whose sum is σ = 113217229440. Its totient is φ = 10626163200.

The previous prime is 40141119983. The next prime is 40141120027. The reversal of 40141120020 is 2002114104.

It is a super-2 number, since 2×401411200202 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40141120027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10844170 + ... + 10847870.

It is an arithmetic number, because the mean of its divisors is an integer number (1179346140).

Almost surely, 240141120020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40141120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56608614720).

40141120020 is an abundant number, since it is smaller than the sum of its proper divisors (73076109420).

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

40141120020 is a wasteful number, since it uses less digits than its factorization.

40141120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4985 (or 4983 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 40141120020 its reverse (2002114104), we get a palindrome (42143234124).

The spelling of 40141120020 in words is "forty billion, one hundred forty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 163 326 489 652 815 978 1109 1630 1956 2218 2445 3260 3327 3701 4436 4890 5545 6654 7402 9780 11090 11103 13308 14804 16635 18505 22180 22206 33270 37010 44412 55515 66540 74020 111030 180767 222060 361534 542301 603263 723068 903835 1084602 1206526 1807670 1809789 2169204 2413052 2711505 3016315 3615340 3619578 4104409 5423010 6032630 7239156 8208818 9048945 10846020 12065260 12313227 16417636 18097890 20522045 24626454 36195780 41044090 49252908 61566135 82088180 123132270 246264540 669018667 1338037334 2007056001 2676074668 3345093335 4014112002 6690186670 8028224004 10035280005 13380373340 20070560010 40141120020