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2142044724 = 22319711131171
BaseRepresentation
bin111111110101101…
…0000001000110100
312112021122010221210
41333223100020310
513341330412344
6552315241420
7104040036231
oct17753201064
95467563853
102142044724
119aa1459a6
124b9449270
13281a1c2b1
141646b2788
15c80bedb9
hex7fad0234

2142044724 has 96 divisors (see below), whose sum is σ = 5387074560. Its totient is φ = 660441600.

The previous prime is 2142044689. The next prime is 2142044741. The reversal of 2142044724 is 4274402412.

It is a super-4 number, since 4×21420447244 (a number of 38 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2142044691 and 2142044700.

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, 1828659 + ... + 1829829.

It is an arithmetic number, because the mean of its divisors is an integer number (56115360).

Almost surely, 22142044724 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 2142044724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2693537280).

2142044724 is an abundant number, since it is smaller than the sum of its proper divisors (3245029836).

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

2142044724 is a wasteful number, since it uses less digits than its factorization.

2142044724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1381 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 30.

The square root of 2142044724 is about 46282.2290301580. The cubic root of 2142044724 is about 1289.0690404690.

The spelling of 2142044724 in words is "two billion, one hundred forty-two million, forty-four thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 71 76 113 114 142 213 226 228 284 339 426 452 678 852 1171 1349 1356 2147 2342 2698 3513 4047 4294 4684 5396 6441 7026 8023 8094 8588 12882 14052 16046 16188 22249 24069 25764 32092 44498 48138 66747 83141 88996 96276 132323 133494 152437 166282 249423 264646 266988 304874 332564 396969 457311 498846 529292 609748 793938 914622 997692 1579679 1587876 1829244 2514137 3159358 4739037 5028274 6318716 7542411 9394933 9478074 10056548 15084822 18789866 18956148 28184799 30169644 37579732 56369598 112739196 178503727 357007454 535511181 714014908 1071022362 2142044724