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40424861356080 = 24353130491782043
BaseRepresentation
bin10010011000100001001011…
…00000000101000000110000
312022010120122002112010102020
421030100211200011000300
520244310104001343310
6221550531441351440
711341412515014315
oct1114204540050060
9168116562463366
1040424861356080
11119760a63a8243
12464a738338580
1319730817b8296
149da806454d0c
154a182404d170
hex24c425805030

40424861356080 has 160 divisors (see below), whose sum is σ = 129402055833600. Its totient is φ = 10428794910720.

The previous prime is 40424861356069. The next prime is 40424861356109. The reversal of 40424861356080 is 8065316842404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21793539 + ... + 23575581.

It is an arithmetic number, because the mean of its divisors is an integer number (808762848960).

Almost surely, 240424861356080 is an apocalyptic number.

40424861356080 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 40424861356080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64701027916800).

40424861356080 is an abundant number, since it is smaller than the sum of its proper divisors (88977194477520).

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

40424861356080 is a wasteful number, since it uses less digits than its factorization.

40424861356080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785139 (or 1785133 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 40424861356080 in words is "forty trillion, four hundred twenty-four billion, eight hundred sixty-one million, three hundred fifty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3049 3720 6098 7440 9147 12196 15245 18294 24392 30490 36588 45735 48784 60980 73176 91470 94519 121960 146352 182940 189038 243920 283557 365880 378076 472595 567114 731760 756152 945190 1134228 1417785 1512304 1782043 1890380 2268456 2835570 3564086 3780760 4536912 5346129 5671140 7128172 7561520 8910215 10692258 11342280 14256344 17820430 21384516 22684560 26730645 28512688 35640860 42769032 53461290 55243333 71281720 85538064 106922580 110486666 142563440 165729999 213845160 220973332 276216665 331459998 427690320 441946664 552433330 662919996 828649995 883893328 1104866660 1325839992 1657299990 2209733320 2651679984 3314599980 4419466640 5433449107 6629199960 10866898214 13258399920 16300347321 21733796428 27167245535 32600694642 43467592856 54334491070 65201389284 81501736605 86935185712 108668982140 130402778568 163003473210 168436922317 217337964280 260805557136 326006946420 336873844634 434675928560 505310766951 652013892840 673747689268 842184611585 1010621533902 1304027785680 1347495378536 1684369223170 2021243067804 2526553834755 2694990757072 3368738446340 4042486135608 5053107669510 6737476892680 8084972271216 10106215339020 13474953785360 20212430678040 40424861356080