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2142120615 = 3517311012683
BaseRepresentation
bin111111110101110…
…0010101010100111
312112021210000001120
41333223202222213
513341340324430
6552321025023
7104040503415
oct17753425247
95467700046
102142120615
119aa197a18
124b9485173
13281a479bb
141646d22b5
15c80d7610
hex7fae2aa7

2142120615 has 64 divisors (see below), whose sum is σ = 3784568832. Its totient is φ = 1029888000.

The previous prime is 2142120613. The next prime is 2142120653. The reversal of 2142120615 is 5160212412.

It is not a de Polignac number, because 2142120615 - 21 = 2142120613 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142120613) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 797064 + ... + 799746.

It is an arithmetic number, because the mean of its divisors is an integer number (59133888).

Almost surely, 22142120615 is an apocalyptic number.

2142120615 is a deficient number, since it is larger than the sum of its proper divisors (1642448217).

2142120615 is a wasteful number, since it uses less digits than its factorization.

2142120615 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 2142120615 is about 46283.0488948168. The cubic root of 2142120615 is about 1289.0842638647.

The spelling of 2142120615 in words is "two billion, one hundred forty-two million, one hundred twenty thousand, six hundred fifteen".

Divisors: 1 3 5 15 17 31 51 85 93 101 155 255 303 465 505 527 1515 1581 1717 2635 2683 3131 5151 7905 8049 8585 9393 13415 15655 25755 40245 45611 46965 53227 83173 136833 159681 228055 249519 266135 270983 415865 684165 798405 812949 1247595 1354915 1413941 4064745 4241823 4606711 7069705 8400473 13820133 21209115 23033555 25201419 42002365 69100665 126007095 142808041 428424123 714040205 2142120615