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1244025040000 = 275431501623
BaseRepresentation
bin10010000110100101101…
…010111010110010000000
311101221001020120212100111
4102012211222322302000
5130340230402240000
62351255222001104
7155610046240231
oct22064552726200
94357036525314
101244025040000
1143a651781276
12181125576194
1390407518132
14442d54c7088
152255ec41cba
hex121a5abac80

1244025040000 has 160 divisors (see below), whose sum is σ = 3196829687040. Its totient is φ = 481557120000.

The previous prime is 1244025039989. The next prime is 1244025040007. The reversal of 1244025040000 is 405204421.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (1244025040007) 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, 2229189 + ... + 2730811.

It is an arithmetic number, because the mean of its divisors is an integer number (19980185544).

Almost surely, 21244025040000 is an apocalyptic number.

1244025040000 is a gapful number since it is divisible by the number (10) 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 1244025040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598414843520).

1244025040000 is an abundant number, since it is smaller than the sum of its proper divisors (1952804647040).

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

1244025040000 is an frugal number, since it uses more digits than its factorization.

1244025040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501688 (or 501661 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The spelling of 1244025040000 in words is "one trillion, two hundred forty-four billion, twenty-five million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 128 155 160 200 248 250 310 320 400 496 500 620 625 640 775 800 992 1000 1240 1250 1550 1600 1984 2000 2480 2500 3100 3200 3875 3968 4000 4960 5000 6200 7750 8000 9920 10000 12400 15500 16000 19375 19840 20000 24800 31000 38750 40000 49600 62000 77500 80000 99200 124000 155000 248000 310000 496000 501623 620000 1003246 1240000 2006492 2480000 2508115 4012984 5016230 8025968 10032460 12540575 15550313 16051936 20064920 25081150 31100626 32103872 40129840 50162300 62201252 62702875 64207744 77751565 80259680 100324600 124402504 125405750 155503130 160519360 200649200 248805008 250811500 311006260 313514375 321038720 388757825 401298400 497610016 501623000 622012520 627028750 777515650 802596800 995220032 1003246000 1244025040 1254057500 1555031300 1605193600 1943789125 1990440064 2006492000 2488050080 2508115000 3110062600 3887578250 4012984000 4976100160 5016230000 6220125200 7775156500 8025968000 9718945625 9952200320 10032460000 12440250400 15550313000 19437891250 20064920000 24880500800 31100626000 38875782500 40129840000 49761001600 62201252000 77751565000 124402504000 155503130000 248805008000 311006260000 622012520000 1244025040000