Search a number
-
+
1010050504040 = 235531014717217
BaseRepresentation
bin11101011001010111011…
…00111001010101101000
310120120010011012221010102
432230223230321111220
5113022040412112130
62052002155404532
7132654664425044
oct16545354712550
93516104187112
101010050504040
1135a3a61a5386
12143907a53748
137432a589956
1436c5b195024
151b418c9d645
hexeb2bb39568

1010050504040 has 64 divisors (see below), whose sum is σ = 2338419306960. Its totient is φ = 392472371200.

The previous prime is 1010050504031. The next prime is 1010050504049. The reversal of 1010050504040 is 404050500101.

It is an interprime number because it is at equal distance from previous prime (1010050504031) and next prime (1010050504049).

It can be written as a sum of positive squares in 8 ways, for example, as 580860428164 + 429190075876 = 762142^2 + 655126^2 .

It is a super-2 number, since 2×10100505040402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1010050504049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2144489 + ... + 2572728.

Almost surely, 21010050504040 is an apocalyptic number.

1010050504040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010050504040 is an abundant number, since it is smaller than the sum of its proper divisors (1328368802920).

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

1010050504040 is a wasteful number, since it uses less digits than its factorization.

1010050504040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4717382 (or 4717378 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 1010050504040 in words is "one trillion, ten billion, fifty million, five hundred four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 53 101 106 202 212 265 404 424 505 530 808 1010 1060 2020 2120 4040 5353 10706 21412 26765 42824 53530 107060 214120 4717217 9434434 18868868 23586085 37737736 47172170 94344340 188688680 250012501 476438917 500025002 952877834 1000050004 1250062505 1905755668 2000100008 2382194585 2500125010 3811511336 4764389170 5000250020 9528778340 10000500040 19057556680 25251262601 50502525202 101005050404 126256313005 202010100808 252512626010 505025252020 1010050504040