Search a number
-
+
41412774480 = 24357112240951
BaseRepresentation
bin100110100100011001…
…001100101001010000
310221220010102220202020
4212210121030221100
51134303132240410
631005203251440
72664150526560
oct464431145120
9127803386666
1041412774480
1116621482460
128039079b80
133b9c9846ac
14200c086da0
151125a51a70
hex9a464ca50

41412774480 has 160 divisors (see below), whose sum is σ = 160057755648. Its totient is φ = 8605248000.

The previous prime is 41412774461. The next prime is 41412774527. The reversal of 41412774480 is 8447721414.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101996 + ... + 1138955.

Almost surely, 241412774480 is an apocalyptic number.

41412774480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41412774480 is an abundant number, since it is smaller than the sum of its proper divisors (118644981168).

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

41412774480 is a wasteful number, since it uses less digits than its factorization.

41412774480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2240985 (or 2240979 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The spelling of 41412774480 in words is "forty-one billion, four hundred twelve million, seven hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 2310 2640 3080 3696 4620 6160 9240 18480 2240951 4481902 6722853 8963804 11204755 13445706 15686657 17927608 22409510 24650461 26891412 31373314 33614265 35855216 44819020 47059971 49300922 53782824 62746628 67228530 73951383 78433285 89638040 94119942 98601844 107565648 123252305 125493256 134457060 147902766 156866570 172553227 179276080 188239884 197203688 235299855 246504610 250986512 268914120 295805532 313733140 345106454 369756915 376479768 394407376 470599710 493009220 517659681 537828240 591611064 627466280 690212908 739513830 752959536 862766135 941199420 986018440 1035319362 1183222128 1254932560 1380425816 1479027660 1725532270 1882398840 1972036880 2070638724 2588298405 2760851632 2958055320 3451064540 3764797680 4141277448 5176596810 5916110640 6902129080 8282554896 10353193620 13804258160 20706387240 41412774480