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40523061024 = 253517437129
BaseRepresentation
bin100101101111010111…
…001101011100100000
310212121010021210100000
4211233113031130200
51130442400423044
630341021500000
72633125223025
oct455727153440
9125533253300
1040523061024
1116205236586
127a2b111600
133a8a550124
141d65c4754c
1510c28a7d69
hex96f5cd720

40523061024 has 288 divisors, whose sum is σ = 129496086720. Its totient is φ = 12415721472.

The previous prime is 40523061023. The next prime is 40523061107. The reversal of 40523061024 is 42016032504.

40523061024 is a `hidden beast` number, since 4 + 0 + 5 + 23 + 0 + 610 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40523061023) 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 47 ways as a sum of consecutive naturals, for example, 5680692 + ... + 5687820.

It is an arithmetic number, because the mean of its divisors is an integer number (449639190).

Almost surely, 240523061024 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 40523061024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64748043360).

40523061024 is an abundant number, since it is smaller than the sum of its proper divisors (88973025696).

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

40523061024 is a wasteful number, since it uses less digits than its factorization.

40523061024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7214 (or 7194 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 40523061024 its reverse (42016032504), we get a palindrome (82539093528).

The spelling of 40523061024 in words is "forty billion, five hundred twenty-three million, sixty-one thousand, twenty-four".