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2142414512 = 24767733911
BaseRepresentation
bin111111110110010…
…1010011010110000
312112022022221012122
41333230222122300
513341424231022
6552331213412
7104043136310
oct17754523260
95468287178
102142414512
119aa378807
124b95a7268
13281b1b6c4
1416476b440
15c8144742
hex7fb2a6b0

2142414512 has 80 divisors (see below), whose sum is σ = 4881925632. Its totient is φ = 891855360.

The previous prime is 2142414493. The next prime is 2142414541. The reversal of 2142414512 is 2154142412.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545837 + ... + 549747.

Almost surely, 22142414512 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 2142414512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440962816).

2142414512 is an abundant number, since it is smaller than the sum of its proper divisors (2739511120).

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

2142414512 is a wasteful number, since it uses less digits than its factorization.

2142414512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 4060 counting only the distinct ones).

The product of its digits is 2560, while the sum is 26.

The square root of 2142414512 is about 46286.2237820283. The cubic root of 2142414512 is about 1289.1432148983.

Adding to 2142414512 its reverse (2154142412), we get a palindrome (4296556924).

The spelling of 2142414512 in words is "two billion, one hundred forty-two million, four hundred fourteen thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 56 67 73 112 134 146 268 292 469 511 536 584 938 1022 1072 1168 1876 2044 3752 3911 4088 4891 7504 7822 8176 9782 15644 19564 27377 31288 34237 39128 54754 62576 68474 78256 109508 136948 219016 262037 273896 285503 438032 524074 547792 571006 1048148 1142012 1834259 1998521 2096296 2284024 3668518 3997042 4192592 4568048 7337036 7994084 14674072 15988168 19128701 29348144 31976336 38257402 76514804 133900907 153029608 267801814 306059216 535603628 1071207256 2142414512