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41301133335152 = 2437711579296737
BaseRepresentation
bin10010110010000001010110…
…11000011001101001110000
312102020100102222211212002122
421121000223120121221300
520403134210113211102
6223501251223133412
711461623404650265
oct1131005330315160
9172210388755078
1041301133335152
111218379205a789
124770529ba4268
131a078ac414902
14a2adb239d26c
154b950d3b00a2
hex25902b619a70

41301133335152 has 160 divisors (see below), whose sum is σ = 83974771163520. Its totient is φ = 19659170119680.

The previous prime is 41301133335149. The next prime is 41301133335169. The reversal of 41301133335152 is 25153333110314.

It is a super-3 number, since 3×413011333351523 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6130489928 + ... + 6130496664.

It is an arithmetic number, because the mean of its divisors is an integer number (524842319772).

Almost surely, 241301133335152 is an apocalyptic number.

It is an amenable number.

41301133335152 is an abundant number, since it is smaller than the sum of its proper divisors (42673637828368).

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

41301133335152 is a wasteful number, since it uses less digits than its factorization.

41301133335152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7939 (or 7933 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

Adding to 41301133335152 its reverse (25153333110314), we get a palindrome (66454466445466).

The spelling of 41301133335152 in words is "forty-one trillion, three hundred one billion, one hundred thirty-three million, three hundred thirty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 37 71 74 142 148 157 284 296 314 568 592 628 929 1136 1256 1858 2512 2627 3716 5254 5809 6737 7432 10508 11147 11618 13474 14864 21016 22294 23236 26948 34373 42032 44588 46472 53896 65959 68746 89176 92944 107792 131918 137492 145853 178352 249269 263836 274984 291706 412439 478327 498538 527672 549968 583412 824878 956654 997076 1055344 1057709 1166824 1649756 1913308 1994152 2115418 2333648 2440483 3299512 3826616 3988304 4230836 4880966 5396561 6258673 6599024 7653232 8461672 9761932 10355563 10793122 12517346 16923344 17698099 19523864 20711126 21586244 25034692 35396198 39047728 39135233 41422252 43172488 50069384 70792396 75097339 78270466 82844504 86344976 100138768 141584792 150194678 156540932 165689008 231570901 283169584 300389356 313081864 383155831 444365783 463141802 600778712 626163728 766311662 888731566 926283604 982611661 1201557424 1532623324 1777463132 1852567208 1965223322 2778601543 3065246648 3554926264 3705134416 3930446644 5557203086 6130493296 7109852528 7860893288 11114406172 15721786576 16441533971 22228812344 32883067942 36356631457 44457624688 65766135884 69765427931 72713262914 131532271768 139530855862 145426525828 263064543536 279061711724 290853051656 558123423448 581706103312 1116246846896 2581320833447 5162641666894 10325283333788 20650566667576 41301133335152