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1142514061416 = 233371358125461
BaseRepresentation
bin10000101000000011001…
…001010001000001101000
311001020000202202212011000
4100220003021101001220
5122204332044431131
62232510321235000
7145354364200320
oct20500311210150
94036022685130
101142514061416
114005a0447642
12165515792a60
138397a971330
143d425906280
151eabd03ece6
hex10a03251068

1142514061416 has 128 divisors (see below), whose sum is σ = 3906031046400. Its totient is φ = 301322384640.

The previous prime is 1142514061373. The next prime is 1142514061427. The reversal of 1142514061416 is 6141604152411.

1142514061416 is a `hidden beast` number, since 1 + 1 + 4 + 25 + 1 + 4 + 0 + 614 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29043075 + ... + 29082386.

It is an arithmetic number, because the mean of its divisors is an integer number (30515867550).

Almost surely, 21142514061416 is an apocalyptic number.

It is an amenable number.

1142514061416 is an abundant number, since it is smaller than the sum of its proper divisors (2763516984984).

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

1142514061416 is a wasteful number, since it uses less digits than its factorization.

1142514061416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58125496 (or 58125486 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1142514061416 in words is "one trillion, one hundred forty-two billion, five hundred fourteen million, sixty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 4914 6552 9828 19656 58125461 116250922 174376383 232501844 348752766 406878227 465003688 523129149 697505532 755630993 813756454 1046258298 1220634681 1395011064 1511261986 1569387447 1627512908 2092516596 2266892979 2441269362 3022523972 3138774894 3255025816 3661904043 4185033192 4533785958 4882538724 5289416951 6045047944 6277549788 6800678937 7323808086 9067571916 9765077448 10578833902 10985712129 12555099576 13601357874 14647616172 15868250853 18135143832 20402036811 21157667804 21971424258 27202715748 29295232344 31736501706 40804073622 42315335608 43942848516 47604752559 54405431496 63473003412 81608147244 87885697032 95209505118 126946006824 142814257677 163216294488 190419010236 285628515354 380838020472 571257030708 1142514061416