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142775357904 = 243221112973623
BaseRepresentation
bin1000010011111000010…
…0110001000111010000
3111122112021000200001200
42010332010301013100
54314400442423104
6145331243231200
713213051342524
oct2047604610720
9448467020050
10142775357904
1155606a70663
1223807218500
1310604871bca
146ca6079d84
153aa96deb39
hex213e1311d0

142775357904 has 120 divisors (see below), whose sum is σ = 401886843072. Its totient is φ = 47316648960.

The previous prime is 142775357849. The next prime is 142775357929. The reversal of 142775357904 is 409753577241.

142775357904 is a `hidden beast` number, since 14 + 2 + 7 + 7 + 53 + 579 + 0 + 4 = 666.

It is a congruent number.

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, 39406237 + ... + 39409859.

Almost surely, 2142775357904 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 142775357904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200943421536).

142775357904 is an abundant number, since it is smaller than the sum of its proper divisors (259111485168).

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

142775357904 is a wasteful number, since it uses less digits than its factorization.

142775357904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 7408800, while the sum is 54.

The spelling of 142775357904 in words is "one hundred forty-two billion, seven hundred seventy-five million, three hundred fifty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 211 422 633 844 1266 1297 1688 1899 2532 2594 3376 3623 3798 3891 5064 5188 7246 7596 7782 10128 10376 10869 11673 14492 15192 15564 20752 21738 23346 28984 30384 31128 32607 43476 46692 57968 62256 65214 86952 93384 130428 173904 186768 260856 273667 521712 547334 764453 821001 1094668 1528906 1642002 2189336 2293359 2463003 3057812 3284004 4378672 4586718 4699031 4926006 6115624 6568008 6880077 9173436 9398062 9852012 12231248 13136016 13760154 14097093 18346872 18796124 19704024 27520308 28194186 36693744 37592248 39408048 42291279 55040616 56388372 75184496 84582558 110081232 112776744 169165116 225553488 338330232 676660464 991495541 1982991082 2974486623 3965982164 5948973246 7931964328 8923459869 11897946492 15863928656 17846919738 23795892984 35693839476 47591785968 71387678952 142775357904