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2114032120040 = 23559389124457
BaseRepresentation
bin11110110000110110001…
…000100011000011101000
321111002200112101202012102
4132300312020203003220
5234114014210320130
64255101205032532
7305506454350361
oct36606610430350
97432615352172
102114032120040
11745613023405
122a18690b5748
1312447721a909
1474469388b68
1539ece092645
hex1ec362230e8

2114032120040 has 32 divisors (see below), whose sum is σ = 4764593524680. Its totient is φ = 844186847232.

The previous prime is 2114032120033. The next prime is 2114032120063. The reversal of 2114032120040 is 400212304112.

It can be written as a sum of positive squares in 4 ways, for example, as 1927893372196 + 186138747844 = 1388486^2 + 431438^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2114032119994 and 2114032120021.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44538509 + ... + 44585948.

Almost surely, 22114032120040 is an apocalyptic number.

2114032120040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114032120040 is an abundant number, since it is smaller than the sum of its proper divisors (2650561404640).

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

2114032120040 is a wasteful number, since it uses less digits than its factorization.

2114032120040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89125061 (or 89125057 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2114032120040 its reverse (400212304112), we get a palindrome (2514244424152).

The spelling of 2114032120040 in words is "two trillion, one hundred fourteen billion, thirty-two million, one hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 593 1186 2372 2965 4744 5930 11860 23720 89124457 178248914 356497828 445622285 712995656 891244570 1782489140 3564978280 52850803001 105701606002 211403212004 264254015005 422806424008 528508030010 1057016060020 2114032120040