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41130440315120 = 2451329533192227
BaseRepresentation
bin10010101101000011011010…
…10010001101000011110000
312101122000212002211000012202
421112201231102031003300
520342340120210040440
6223251021411242332
711443401440141462
oct1126415522150360
9171560762730182
1041130440315120
111211835a320392
1247434312a93a8
1319c4778a23500
14a22a1c688132
154b4d6ccc0615
hex25686d48d0f0

41130440315120 has 120 divisors (see below), whose sum is σ = 103658832057456. Its totient is φ = 15170683766784.

The previous prime is 41130440315057. The next prime is 41130440315171. The reversal of 41130440315120 is 2151304403114.

It is a super-2 number, since 2×411304403151202 (a number of 28 digits) contains 22 as substring.

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, 11288447 + ... + 14480673.

Almost surely, 241130440315120 is an apocalyptic number.

41130440315120 is a gapful number since it is divisible by the number (40) 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 41130440315120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51829416028728).

41130440315120 is an abundant number, since it is smaller than the sum of its proper divisors (62528391742336).

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

41130440315120 is a wasteful number, since it uses less digits than its factorization.

41130440315120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3193219 (or 3193200 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

Adding to 41130440315120 its reverse (2151304403114), we get a palindrome (43281744718234).

The spelling of 41130440315120 in words is "forty-one trillion, one hundred thirty billion, four hundred forty million, three hundred fifteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 169 208 260 338 520 676 845 953 1040 1352 1690 1906 2704 3380 3812 4765 6760 7624 9530 12389 13520 15248 19060 24778 38120 49556 61945 76240 99112 123890 161057 198224 247780 322114 495560 644228 805285 991120 1288456 1610570 2576912 3192227 3221140 6384454 6442280 12768908 12884560 15961135 25537816 31922270 41498951 51075632 63844540 82997902 127689080 165995804 207494755 255378160 331991608 414989510 539486363 663983216 829979020 1078972726 1659958040 2157945452 2697431815 3042192331 3319916080 4315890904 5394863630 6084384662 8631781808 10789727260 12168769324 15210961655 21579454520 24337538648 30421923310 39548500303 43158909040 48675077296 60843846620 79097000606 121687693240 158194001212 197742501515 243375386480 316388002424 395485003030 514130503939 632776004848 790970006060 1028261007878 1581940012120 2056522015756 2570652519695 3163880024240 4113044031512 5141305039390 8226088063024 10282610078780 20565220157560 41130440315120