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20144003985 = 3257123151949
BaseRepresentation
bin10010110000101011…
…010001101110010001
31220222212111102120200
4102300223101232101
5312223331111420
613130511525413
71312121131410
oct226053215621
956885442520
1020144003985
1185a7846386
123aa2229869
131b904875b1
14d9148d477
157cd713b90
hex4b0ad1b91

20144003985 has 48 divisors (see below), whose sum is σ = 39937497600. Its totient is φ = 9201029760.

The previous prime is 20144003977. The next prime is 20144004019. The reversal of 20144003985 is 58930044102.

20144003985 is a `hidden beast` number, since 201 + 440 + 0 + 3 + 9 + 8 + 5 = 666.

It is not a de Polignac number, because 20144003985 - 23 = 20144003977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 361791 + ... + 413739.

It is an arithmetic number, because the mean of its divisors is an integer number (832031200).

Almost surely, 220144003985 is an apocalyptic number.

It is an amenable number.

20144003985 is a deficient number, since it is larger than the sum of its proper divisors (19793493615).

20144003985 is a wasteful number, since it uses less digits than its factorization.

20144003985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53198 (or 53195 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20144003985 in words is "twenty billion, one hundred forty-four million, three thousand, nine hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 1231 3693 6155 8617 11079 18465 25851 43085 51949 55395 77553 129255 155847 259745 363643 387765 467541 779235 1090929 1818215 2337705 3272787 5454645 16363935 63949219 191847657 319746095 447644533 575542971 959238285 1342933599 2238222665 2877714855 4028800797 6714667995 20144003985