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2126310514000 = 245344314991601
BaseRepresentation
bin11110111100010001111…
…110111001110101010000
321112021101020100210021021
4132330101332321311100
5234314140442422000
64304451421405224
7306422646105331
oct36742176716520
97467336323237
102126310514000
1174a843941532
122a4115109814
13125682c56a9a
1474cb1d54288
153a49bea511a
hex1ef11fb9d50

2126310514000 has 160 divisors (see below), whose sum is σ = 5159683152000. Its totient is φ = 847508480000.

The previous prime is 2126310513983. The next prime is 2126310514051. The reversal of 2126310514000 is 4150136212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1328113200 + ... + 1328114800.

It is an arithmetic number, because the mean of its divisors is an integer number (32248019700).

Almost surely, 22126310514000 is an apocalyptic number.

2126310514000 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 2126310514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579841576000).

2126310514000 is an abundant number, since it is smaller than the sum of its proper divisors (3033372638000).

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

2126310514000 is a wasteful number, since it uses less digits than its factorization.

2126310514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3550 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 2126310514000 in words is "two trillion, one hundred twenty-six billion, three hundred ten million, five hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 443 500 886 1000 1499 1601 1772 2000 2215 2998 3202 3544 4430 5996 6404 7088 7495 8005 8860 11075 11992 12808 14990 16010 17720 22150 23984 25616 29980 32020 35440 37475 40025 44300 55375 59960 64040 74950 80050 88600 110750 119920 128080 149900 160100 177200 187375 200125 221500 299800 320200 374750 400250 443000 599600 640400 664057 709243 749500 800500 886000 1328114 1418486 1499000 1601000 2399899 2656228 2836972 2998000 3202000 3320285 3546215 4799798 5312456 5673944 6640570 7092430 9599596 10624912 11347888 11999495 13281140 14184860 16601425 17731075 19199192 23998990 26562280 28369720 33202850 35462150 38398384 47997980 53124560 56739440 59997475 66405700 70924300 83007125 88655375 95995960 119994950 132811400 141848600 166014250 177310750 191991920 239989900 265622800 283697200 299987375 332028500 354621500 479979800 599974750 664057000 709243000 959959600 1063155257 1199949500 1328114000 1418486000 2126310514 2399899000 4252621028 4799798000 5315776285 8505242056 10631552570 17010484112 21263105140 26578881425 42526210280 53157762850 85052420560 106315525700 132894407125 212631051400 265788814250 425262102800 531577628500 1063155257000 2126310514000