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2134200144040 = 235262492032649
BaseRepresentation
bin11111000011101000001…
…111011101000010101000
321120000202002002112001021
4133003220033131002220
5234431320214102130
64312234335502224
7310122316623226
oct37035017350250
97500662075037
102134200144040
11753122385338
122a5757387974
1312633c665323
147541dacbb16
153a7ae94d37a
hex1f0e83dd0a8

2134200144040 has 32 divisors (see below), whose sum is σ = 4802135625000. Its totient is φ = 853647115264.

The previous prime is 2134200143969. The next prime is 2134200144079. The reversal of 2134200144040 is 404410024312.

It can be written as a sum of positive squares in 4 ways, for example, as 1419238577124 + 714961566916 = 1191318^2 + 845554^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2134200143996 and 2134200144014.

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, 33636 + ... + 2066284.

Almost surely, 22134200144040 is an apocalyptic number.

2134200144040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134200144040 is an abundant number, since it is smaller than the sum of its proper divisors (2667935480960).

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

2134200144040 is a wasteful number, since it uses less digits than its factorization.

2134200144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058909 (or 2058905 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 2134200144040 its reverse (404410024312), we get a palindrome (2538610168352).

The spelling of 2134200144040 in words is "two trillion, one hundred thirty-four billion, two hundred million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 26249 52498 104996 131245 209992 262490 524980 1049960 2032649 4065298 8130596 10163245 16261192 20326490 40652980 81305960 53355003601 106710007202 213420014404 266775018005 426840028808 533550036010 1067100072020 2134200144040