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1990142885456 = 2411471663144671
BaseRepresentation
bin11100111101011101110…
…000100111111001010000
321001020220110221112211122
4130331131300213321100
5230101303034313311
64122131540501412
7263532411261545
oct34753560477120
97036813845748
101990142885456
116a8018859830
122818529aa868
1311589235470b
146c4756c2bcc
1536b7c9460db
hex1cf5dc27e50

1990142885456 has 80 divisors (see below), whose sum is σ = 4298550018048. Its totient is φ = 884824867200.

The previous prime is 1990142885441. The next prime is 1990142885459. The reversal of 1990142885456 is 6545882410991.

It is a super-2 number, since 2×19901428854562 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1990142885459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13684001 + ... + 13828671.

Almost surely, 21990142885456 is an apocalyptic number.

1990142885456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1990142885456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2149275009024).

1990142885456 is an abundant number, since it is smaller than the sum of its proper divisors (2308407132592).

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

1990142885456 is a wasteful number, since it uses less digits than its factorization.

1990142885456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146400 (or 146394 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 62.

The spelling of 1990142885456 in words is "one trillion, nine hundred ninety billion, one hundred forty-two million, eight hundred eighty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 176 188 376 517 752 1034 1663 2068 3326 4136 6652 8272 13304 18293 26608 36586 73172 78161 144671 146344 156322 289342 292688 312644 578684 625288 859771 1157368 1250576 1591381 1719542 2314736 3182762 3439084 6365524 6799537 6878168 12731048 13599074 13756336 25462096 27198148 54396296 74794907 108792592 149589814 240587873 299179628 481175746 598359256 962351492 1196718512 1924702984 2646466603 3849405968 5292933206 10585866412 11307630031 21171732824 22615260062 42343465648 45230520124 90461040248 124383930341 180922080496 248767860682 497535721364 995071442728 1990142885456