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3344000011040 = 255137237222149
BaseRepresentation
bin110000101010010101111…
…011101100101100100000
3102211200110002222110021202
4300222111323230230200
5414242003000323130
611040113513340332
7463411303051133
oct60522573545440
912750402873252
103344000011040
11107a200912567
1246010aa076a8
131b34513377b0
14b7bc996021a
155beb9b63145
hex30a95eecb20

3344000011040 has 96 divisors (see below), whose sum is σ = 8509121636400. Its totient is φ = 1234531528704.

The previous prime is 3344000011013. The next prime is 3344000011087. The reversal of 3344000011040 is 401100004433.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 980044560784 + 2363955450256 = 989972^2 + 1537516^2 .

It is a super-2 number, since 2×33440000110402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14941886 + ... + 15164034.

Almost surely, 23344000011040 is an apocalyptic number.

It is an amenable number.

3344000011040 is an abundant number, since it is smaller than the sum of its proper divisors (5165121625360).

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

3344000011040 is a wasteful number, since it uses less digits than its factorization.

3344000011040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229414 (or 229406 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 3344000011040 its reverse (401100004433), we get a palindrome (3745100015473).

The spelling of 3344000011040 in words is "three trillion, three hundred forty-four billion, eleven thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1040 2080 7237 14474 28948 36185 57896 72370 94081 115792 144740 188162 222149 231584 289480 376324 444298 470405 578960 752648 888596 940810 1110745 1157920 1505296 1777192 1881620 2221490 2887937 3010592 3554384 3763240 4442980 5775874 7108768 7526480 8885960 11551748 14439685 15052960 17771920 23103496 28879370 35543840 46206992 57758740 92413984 115517480 231034960 462069920 1607692313 3215384626 6430769252 8038461565 12861538504 16076923130 20900000069 25723077008 32153846260 41800000138 51446154016 64307692520 83600000276 104500000345 128615385040 167200000552 209000000690 257230770080 334400001104 418000001380 668800002208 836000002760 1672000005520 3344000011040