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2114462988 = 2233114143411
BaseRepresentation
bin111111000001000…
…0010010100001100
312110100201211221000
41332002002110030
513312300303423
6545452140300
7103253432061
oct17602022414
95410654830
102114462988
11995617380
124b0167690
132790b2c41
14160b72c68
15c5972843
hex7e08250c

2114462988 has 96 divisors (see below), whose sum is σ = 6126301440. Its totient is φ = 625104000.

The previous prime is 2114462981. The next prime is 2114463007. The reversal of 2114462988 is 8892644112.

2114462988 is a `hidden beast` number, since 2 + 1 + 14 + 4 + 629 + 8 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (2114462981) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27003 + ... + 70413.

It is an arithmetic number, because the mean of its divisors is an integer number (63815640).

Almost surely, 22114462988 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 2114462988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3063150720).

2114462988 is an abundant number, since it is smaller than the sum of its proper divisors (4011838452).

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

2114462988 is a wasteful number, since it uses less digits than its factorization.

2114462988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43476 (or 43468 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2114462988 is about 45983.2903128952. The cubic root of 2114462988 is about 1283.5122831060.

The spelling of 2114462988 in words is "two billion, one hundred fourteen million, four hundred sixty-two thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 41 44 54 66 82 99 108 123 132 164 198 246 297 369 396 451 492 594 738 902 1107 1188 1353 1476 1804 2214 2706 4059 4428 5412 8118 12177 16236 24354 43411 48708 86822 130233 173644 260466 390699 477521 520932 781398 955042 1172097 1432563 1562796 1779851 1910084 2344194 2865126 3559702 4297689 4688388 5339553 5730252 7119404 8595378 10679106 12893067 16018659 17190756 19578361 21358212 25786134 32037318 39156722 48055977 51572268 58735083 64074636 78313444 96111954 117470166 176205249 192223908 234940332 352410498 528615747 704820996 1057231494 2114462988