Search a number
-
+
1019311883244 = 22362851122609
BaseRepresentation
bin11101101010100111011…
…10010000001111101100
310121110000121010202000000
432311103232100033230
5113200022320230434
62100133155104300
7133433333023434
oct16652356201754
93543017122000
101019311883244
11363318a91686
121456715a2090
1375175234ba5
14374991a92c4
151b7abdaab99
hexed53b903ec

1019311883244 has 84 divisors (see below), whose sum is σ = 2675430141720. Its totient is φ = 339648681600.

The previous prime is 1019311883243. The next prime is 1019311883251. The reversal of 1019311883244 is 4423881139101.

1019311883244 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 311 + 8 + 8 + 324 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1019311883244.

It is not an unprimeable number, because it can be changed into a prime (1019311883243) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 8252212 + ... + 8374820.

It is an arithmetic number, because the mean of its divisors is an integer number (31850358830).

Almost surely, 21019311883244 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 1019311883244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337715070860).

1019311883244 is an abundant number, since it is smaller than the sum of its proper divisors (1656118258476).

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

1019311883244 is a wasteful number, since it uses less digits than its factorization.

1019311883244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125482 (or 125465 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 1019311883244 in words is "one trillion, nineteen billion, three hundred eleven million, eight hundred eighty-three thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2851 2916 5702 8553 11404 17106 25659 34212 51318 76977 102636 122609 153954 230931 245218 307908 367827 461862 490436 692793 735654 923724 1103481 1385586 1471308 2078379 2206962 2771172 3310443 4156758 4413924 6620886 8313516 9931329 13241772 19862658 29793987 39725316 59587974 89381961 119175948 178763922 349558259 357527844 699116518 1048674777 1398233036 2097349554 3146024331 4194699108 6292048662 9438072993 12584097324 18876145986 28314218979 37752291972 56628437958 84942656937 113256875916 169885313874 254827970811 339770627748 509655941622 1019311883244