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4001401266500 = 2253114357166979
BaseRepresentation
bin111010001110100110000…
…110011110000101000100
3112011112022112102102012102
4322032212012132011010
51011024332211012000
612302115100011232
7562043311402151
oct72164606360504
915145275372172
104001401266500
111302a91775960
125475b9230b18
1323043b1cb801
14db9514a1228
156e1440003d5
hex3a3a619e144

4001401266500 has 96 divisors (see below), whose sum is σ = 9535765599360. Its totient is φ = 1454712336000.

The previous prime is 4001401266431. The next prime is 4001401266503. The reversal of 4001401266500 is 56621041004.

It is a super-2 number, since 2×40014012665002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4001401266503) by changing a digit.

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, 23880011 + ... + 24046989.

It is an arithmetic number, because the mean of its divisors is an integer number (99330891660).

Almost surely, 24001401266500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4001401266500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767882799680).

4001401266500 is an abundant number, since it is smaller than the sum of its proper divisors (5534364332860).

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

4001401266500 is a wasteful number, since it uses less digits than its factorization.

4001401266500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171366 (or 171354 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The spelling of 4001401266500 in words is "four trillion, one billion, four hundred one million, two hundred sixty-six thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 1100 1375 2750 4357 5500 8714 17428 21785 43570 47927 87140 95854 108925 166979 191708 217850 239635 333958 435700 479270 544625 667916 834895 958540 1089250 1198175 1669790 1836769 2178500 2396350 3339580 3673538 4174475 4792700 5990875 7347076 8348950 9183845 11981750 16697900 18367690 20872375 23963500 36735380 41744750 45919225 83489500 91838450 183676900 229596125 459192250 727527503 918384500 1455055006 2910110012 3637637515 7275275030 8002802533 14550550060 16005605066 18188187575 32011210132 36376375150 40014012665 72752750300 80028025330 90940937875 160056050660 181881875750 200070063325 363763751500 400140126650 800280253300 1000350316625 2000700633250 4001401266500