Search a number
-
+
41057661016640 = 265187968283763
BaseRepresentation
bin10010101010111011110110…
…10011001101101001000000
312101101001222222201120120102
421111131323103031221000
520340142042210013030
6223153343514301532
711435214054254012
oct1125357323155100
9171331888646512
1041057661016640
111209a502300224
1247312bb7278a8
1319ba94a849458
14a1d2b68ba1b2
154b300d6b3c45
hex25577b4cda40

41057661016640 has 56 divisors (see below), whose sum is σ = 97820588955840. Its totient is φ = 16414323844608.

The previous prime is 41057661016637. The next prime is 41057661016657. The reversal of 41057661016640 is 4661016675014.

41057661016640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 33540602 + ... + 34743161.

Almost surely, 241057661016640 is an apocalyptic number.

41057661016640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41057661016640 is an abundant number, since it is smaller than the sum of its proper divisors (56762927939200).

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

41057661016640 is a wasteful number, since it uses less digits than its factorization.

41057661016640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68285659 (or 68285649 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 41057661016640 in words is "forty-one trillion, fifty-seven billion, six hundred sixty-one million, sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1879 3758 7516 9395 15032 18790 30064 37580 60128 75160 120256 150320 300640 601280 68283763 136567526 273135052 341418815 546270104 682837630 1092540208 1365675260 2185080416 2731350520 4370160832 5462701040 10925402080 21850804160 128305190677 256610381354 513220762708 641525953385 1026441525416 1283051906770 2052883050832 2566103813540 4105766101664 5132207627080 8211532203328 10264415254160 20528830508320 41057661016640