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2130441040 = 245713222511
BaseRepresentation
bin111111011111011…
…1111001101010000
312111110210121200201
41332332333031100
513330343103130
6551222424544
7103536310240
oct17676771520
95443717621
102130441040
119a363a982
124b5592154
1327c4b8800
14162d31b20
15c707bbca
hex7efbf350

2130441040 has 120 divisors (see below), whose sum is σ = 6130107648. Its totient is φ = 674219520.

The previous prime is 2130441017. The next prime is 2130441067. The reversal of 2130441040 is 401440312.

It is a junction number, because it is equal to n+sod(n) for n = 2130440999 and 2130441017.

It is a congruent number.

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, 83385 + ... + 105895.

Almost surely, 22130441040 is an apocalyptic number.

2130441040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130441040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065053824).

2130441040 is an abundant number, since it is smaller than the sum of its proper divisors (3999666608).

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

2130441040 is a wasteful number, since it uses less digits than its factorization.

2130441040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22557 (or 22538 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 2130441040 is about 46156.7009219680. The cubic root of 2130441040 is about 1286.7371500073.

Adding to 2130441040 its reverse (401440312), we get a palindrome (2531881352).

The spelling of 2130441040 in words is "two billion, one hundred thirty million, four hundred forty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 169 182 208 260 280 338 364 455 520 560 676 728 845 910 1040 1183 1352 1456 1690 1820 2366 2704 3380 3640 4732 5915 6760 7280 9464 11830 13520 18928 22511 23660 45022 47320 90044 94640 112555 157577 180088 225110 292643 315154 360176 450220 585286 630308 787885 900440 1170572 1260616 1463215 1575770 1800880 2048501 2341144 2521232 2926430 3151540 3804359 4097002 4682288 5852860 6303080 7608718 8194004 10242505 11705720 12606160 15217436 16388008 19021795 20485010 23411440 26630513 30434872 32776016 38043590 40970020 53261026 60869744 76087180 81940040 106522052 133152565 152174360 163880080 213044104 266305130 304348720 426088208 532610260 1065220520 2130441040