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2142401430 = 2351319215217
BaseRepresentation
bin111111110110010…
…0111001110010110
312112022022021021010
41333230213032112
513341423321210
6552331033050
7104043053211
oct17754471626
95468267233
102142401430
119aa3699a4
124b959b786
13281b15770
14164766778
15c8140920
hex7fb27396

2142401430 has 96 divisors (see below), whose sum is σ = 5844442464. Its totient is φ = 499571712.

The previous prime is 2142401407. The next prime is 2142401453. The reversal of 2142401430 is 341042412.

It is an interprime number because it is at equal distance from previous prime (2142401407) and next prime (2142401453).

It is a junction number, because it is equal to n+sod(n) for n = 2142401397 and 2142401406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133182 + ... + 148398.

It is an arithmetic number, because the mean of its divisors is an integer number (60879609).

Almost surely, 22142401430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2142401430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2922221232).

2142401430 is an abundant number, since it is smaller than the sum of its proper divisors (3702041034).

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

2142401430 is a wasteful number, since it uses less digits than its factorization.

2142401430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15278 (or 15259 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 2142401430 is about 46286.0824654669. The cubic root of 2142401430 is about 1289.1405909731.

Adding to 2142401430 its reverse (341042412), we get a palindrome (2483443842).

The spelling of 2142401430 in words is "two billion, one hundred forty-two million, four hundred one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 65 78 95 114 130 190 195 247 285 361 390 494 570 722 741 1083 1235 1482 1805 2166 2470 3610 3705 4693 5415 7410 9386 10830 14079 15217 23465 28158 30434 45651 46930 70395 76085 91302 140790 152170 197821 228255 289123 395642 456510 578246 593463 867369 989105 1186926 1445615 1734738 1978210 2891230 2967315 3758599 4336845 5493337 5934630 7517198 8673690 10986674 11275797 16480011 18792995 22551594 27466685 32960022 37585990 54933370 56378985 71413381 82400055 112757970 142826762 164800110 214240143 357066905 428480286 714133810 1071200715 2142401430