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2142514044 = 2233114341941
BaseRepresentation
bin111111110110100…
…0010101101111100
312112022111222202000
41333231002231330
513341440422134
6552333302300
7104044032426
oct17755025574
95468458660
102142514044
119aa436570
124b9634990
13281b54ab8
14164795816
15c8163e99
hex7fb42b7c

2142514044 has 96 divisors (see below), whose sum is σ = 6200705280. Its totient is φ = 634132800.

The previous prime is 2142513979. The next prime is 2142514069. The reversal of 2142514044 is 4404152412.

2142514044 is a `hidden beast` number, since 2 + 1 + 4 + 251 + 404 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2142513999 and 2142514017.

It is a congruent number.

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, 30114 + ... + 72054.

It is an arithmetic number, because the mean of its divisors is an integer number (64590680).

Almost surely, 22142514044 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 2142514044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3100352640).

2142514044 is an abundant number, since it is smaller than the sum of its proper divisors (4058191236).

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

2142514044 is a wasteful number, since it uses less digits than its factorization.

2142514044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42008 (or 42000 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 2142514044 is about 46287.2989490638. The cubic root of 2142514044 is about 1289.1631782021.

Adding to 2142514044 its reverse (4404152412), we get a palindrome (6546666456).

The spelling of 2142514044 in words is "two billion, one hundred forty-two million, five hundred fourteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 43 44 54 66 86 99 108 129 132 172 198 258 297 387 396 473 516 594 774 946 1161 1188 1419 1548 1892 2322 2838 4257 4644 5676 8514 12771 17028 25542 41941 51084 83882 125823 167764 251646 377469 461351 503292 754938 922702 1132407 1384053 1509876 1803463 1845404 2264814 2768106 3606926 4152159 4529628 5410389 5536212 7213852 8304318 10820778 12456477 16231167 16608636 19838093 21641556 24912954 32462334 39676186 48693501 49825908 59514279 64924668 79352372 97387002 119028558 178542837 194774004 238057116 357085674 535628511 714171348 1071257022 2142514044