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41474256452040 = 2335137218414343
BaseRepresentation
bin10010110111000011110100…
…10100101011100111001000
312102211220022020112102011210
421123201322110223213020
520414003234122431130
6224113002124253120
711510262511113426
oct1133417224534710
9172756266472153
1041474256452040
1112240151598895
124799ba46a11a0
131a1b00c3cba49
14a35516b2a116
154bdc91ebd5b0
hex25b87a52b9c8

41474256452040 has 96 divisors (see below), whose sum is σ = 125337600722880. Its totient is φ = 10979072644608.

The previous prime is 41474256452021. The next prime is 41474256452053. The reversal of 41474256452040 is 4025465247414.

41474256452040 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×414742564520402 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6954892 + ... + 11459451.

It is an arithmetic number, because the mean of its divisors is an integer number (1305600007530).

Almost surely, 241474256452040 is an apocalyptic number.

41474256452040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41474256452040 is an abundant number, since it is smaller than the sum of its proper divisors (83863344270840).

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

41474256452040 is a wasteful number, since it uses less digits than its factorization.

41474256452040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18414631 (or 18414490 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 48.

The spelling of 41474256452040 in words is "forty-one trillion, four hundred seventy-four billion, two hundred fifty-six million, four hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 2055 2740 3288 4110 5480 8220 16440 18769 37538 56307 75076 93845 112614 150152 187690 225228 281535 375380 450456 563070 750760 1126140 2252280 18414343 36828686 55243029 73657372 92071715 110486058 147314744 184143430 220972116 276215145 368286860 441944232 552430290 736573720 1104860580 2209721160 2522764991 5045529982 7568294973 10091059964 12613824955 15136589946 20182119928 25227649910 30273179892 37841474865 50455299820 60546359784 75682949730 100910599640 151365899460 302731798920 345618803767 691237607534 1036856411301 1382475215068 1728094018835 2073712822602 2764950430136 3456188037670 4147425645204 5184282056505 6912376075340 8294851290408 10368564113010 13824752150680 20737128226020 41474256452040