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4544426023040 = 27531947241873
BaseRepresentation
bin100001000100001010011…
…1001100001100010000000
3121002102221212022012212102
41002020110321201202000
51043423441030214130
613355402553045532
7646216053564521
oct102102471414200
917072855265772
104544426023040
1114a230a020792
126148a70b68a8
1326c6cac707b7
14119d468a0848
157d326e4e645
hex42214e61880

4544426023040 has 128 divisors (see below), whose sum is σ = 11226359185920. Its totient is φ = 1757267804160.

The previous prime is 4544426023021. The next prime is 4544426023051. The reversal of 4544426023040 is 403206244454.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×45444260230402 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4544426022985 and 4544426023003.

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 15 ways as a sum of consecutive naturals, for example, 18667544 + ... + 18909416.

It is an arithmetic number, because the mean of its divisors is an integer number (87705931140).

Almost surely, 24544426023040 is an apocalyptic number.

4544426023040 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 4544426023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613179592960).

4544426023040 is an abundant number, since it is smaller than the sum of its proper divisors (6681933162880).

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

4544426023040 is a wasteful number, since it uses less digits than its factorization.

4544426023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242870 (or 242858 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 38.

The spelling of 4544426023040 in words is "four trillion, five hundred forty-four billion, four hundred twenty-six million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 947 992 1240 1894 1984 2480 3788 3968 4735 4960 7576 9470 9920 15152 18940 19840 29357 30304 37880 58714 60608 75760 117428 121216 146785 151520 234856 241873 293570 303040 469712 483746 587140 606080 939424 967492 1174280 1209365 1878848 1934984 2348560 2418730 3757696 3869968 4697120 4837460 7498063 7739936 9394240 9674920 14996126 15479872 18788480 19349840 29992252 30959744 37490315 38699680 59984504 74980630 77399360 119969008 149961260 154798720 229053731 239938016 299922520 458107462 479876032 599845040 916214924 959752064 1145268655 1199690080 1832429848 2290537310 2399380160 3664859696 4581074620 4798760320 7100665661 7329719392 9162149240 14201331322 14659438784 18324298480 28402662644 29318877568 35503328305 36648596960 56805325288 71006656610 73297193920 113610650576 142013313220 146594387840 227221301152 284026626440 454442602304 568053252880 908885204608 1136106505760 2272213011520 4544426023040