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2114410144 = 257112181431
BaseRepresentation
bin111111000000111…
…0101011010100000
312110100122011102211
41332001311122200
513312242111034
6545451051504
7103253122030
oct17601653240
95410564384
102114410144
11995590700
124b0140b94
13279094b82
14160b5b8c0
15c5961d64
hex7e0756a0

2114410144 has 144 divisors (see below), whose sum is σ = 5270323968. Its totient is φ = 817344000.

The previous prime is 2114410093. The next prime is 2114410157. The reversal of 2114410144 is 4410144112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4905609 + ... + 4906039.

It is an arithmetic number, because the mean of its divisors is an integer number (36599472).

Almost surely, 22114410144 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 2114410144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2635161984).

2114410144 is an abundant number, since it is smaller than the sum of its proper divisors (3155913824).

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

2114410144 is a wasteful number, since it uses less digits than its factorization.

2114410144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 2114410144 is about 45982.7157092749. The cubic root of 2114410144 is about 1283.5015906373.

Adding to 2114410144 its reverse (4410144112), we get a palindrome (6524554256).

The spelling of 2114410144 in words is "two billion, one hundred fourteen million, four hundred ten thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 181 224 242 308 352 362 431 484 616 724 847 862 968 1232 1267 1448 1694 1724 1936 1991 2464 2534 2896 3017 3388 3448 3872 3982 4741 5068 5792 6034 6776 6896 7964 9482 10136 12068 13552 13792 13937 15928 18964 20272 21901 24136 27104 27874 31856 33187 37928 40544 43802 48272 52151 55748 63712 66374 75856 78011 87604 96544 104302 111496 132748 151712 153307 156022 175208 208604 222992 265496 306614 312044 350416 365057 417208 445984 530992 546077 613228 624088 700832 730114 834416 858121 1061984 1092154 1226456 1248176 1460228 1668832 1716242 2184308 2452912 2496352 2920456 3432484 4368616 4905824 5840912 6006847 6864968 8737232 9439331 11681824 12013694 13729936 17474464 18878662 24027388 27459872 37757324 48054776 66075317 75514648 96109552 132150634 151029296 192219104 264301268 302058592 528602536 1057205072 2114410144