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2134355540000 = 2554472270591
BaseRepresentation
bin11111000011110001100…
…000001111100000100000
321120001010220111110020012
4133003301200033200200
5234432130004240000
64312302010304052
7310126214515535
oct37036140174040
97501126443205
102134355540000
117531a2072652
122a579b428028
131263659032b8
14754365bcd8c
153a7bd3e6735
hex1f0f180f820

2134355540000 has 120 divisors (see below), whose sum is σ = 5362557032448. Its totient is φ = 835577120000.

The previous prime is 2134355539999. The next prime is 2134355540003. The reversal of 2134355540000 is 455534312.

It is a happy number.

It is a super-2 number, since 2×21343555400002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2134355540003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 195296 + ... + 2075295.

Almost surely, 22134355540000 is an apocalyptic number.

2134355540000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134355540000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681278516224).

2134355540000 is an abundant number, since it is smaller than the sum of its proper divisors (3228201492448).

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

2134355540000 is an equidigital number, since it uses as much as digits as its factorization.

2134355540000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2270668 (or 2270645 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The spelling of 2134355540000 in words is "two trillion, one hundred thirty-four billion, three hundred fifty-five million, five hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 80 94 100 125 160 188 200 235 250 376 400 470 500 625 752 800 940 1000 1175 1250 1504 1880 2000 2350 2500 3760 4000 4700 5000 5875 7520 9400 10000 11750 18800 20000 23500 29375 37600 47000 58750 94000 117500 188000 235000 470000 940000 2270591 4541182 9082364 11352955 18164728 22705910 36329456 45411820 56764775 72658912 90823640 106717777 113529550 181647280 213435554 227059100 283823875 363294560 426871108 454118200 533588885 567647750 853742216 908236400 1067177770 1135295500 1419119375 1707484432 1816472800 2134355540 2270591000 2667944425 2838238750 3414968864 4268711080 4541182000 5335888850 5676477500 8537422160 9082364000 10671777700 11352955000 13339722125 17074844320 21343555400 22705910000 26679444250 42687110800 45411820000 53358888500 66698610625 85374221600 106717777000 133397221250 213435554000 266794442500 426871108000 533588885000 1067177770000 2134355540000