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2145551044 = 22721323311181
BaseRepresentation
bin111111111100010…
…1000001011000100
312112112020021201111
41333320220023010
513343230113134
6552522334404
7104111611600
oct17770501304
95475207644
102145551044
11a0112028a
124ba65a404
13282679240
14164d46500
15c8563c64
hex7fe282c4

2145551044 has 144 divisors (see below), whose sum is σ = 5070836736. Its totient is φ = 785030400.

The previous prime is 2145551029. The next prime is 2145551069. The reversal of 2145551044 is 4401555412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 2145550997 and 2145551015.

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, 1816134 + ... + 1817314.

It is an arithmetic number, because the mean of its divisors is an integer number (35214144).

Almost surely, 22145551044 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 2145551044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2535418368).

2145551044 is an abundant number, since it is smaller than the sum of its proper divisors (2925285692).

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

2145551044 is a wasteful number, since it uses less digits than its factorization.

2145551044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1266 (or 1257 counting only the distinct ones).

The product of its (nonzero) digits is 16000, while the sum is 31.

The square root of 2145551044 is about 46320.0933073326. The cubic root of 2145551044 is about 1289.7720174798.

The spelling of 2145551044 in words is "two billion, one hundred forty-five million, five hundred fifty-one thousand, forty-four".

Divisors: 1 2 4 7 13 14 23 26 28 31 46 49 52 62 91 92 98 124 161 182 196 217 299 322 364 403 434 598 637 644 713 806 868 1127 1181 1196 1274 1426 1519 1612 2093 2254 2362 2548 2821 2852 3038 4186 4508 4724 4991 5642 6076 8267 8372 9269 9982 11284 14651 15353 16534 18538 19747 19964 27163 29302 30706 33068 34937 36611 37076 39494 54326 57869 58604 61412 64883 69874 73222 78988 107471 108652 115738 129766 139748 146444 190141 214942 231476 256277 259532 353119 380282 429884 454181 475943 512554 706238 752297 760564 842053 908362 951886 1025108 1330987 1412476 1504594 1684106 1793939 1816724 1903772 2471833 2661974 3009188 3331601 3368212 3587878 4943666 5323948 5894371 6663202 7175756 9887332 10946689 11788742 13326404 17302831 21893378 23321207 23577484 34605662 41260597 43786756 46642414 69211324 76626823 82521194 93284828 153253646 165042388 306507292 536387761 1072775522 2145551044