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3144424420000 = 2554409138431
BaseRepresentation
bin101101110000011110010…
…011001111001010100000
3102010121022100021222102201
4231300132103033022200
5403004240122420000
610404310104022544
7443114524400053
oct55603623171240
912117270258381
103144424420000
1110025a7679076
124294b1461a54
1319a696c250a6
14ac295d98a9a
1556bd8ac496a
hex2dc1e4cf2a0

3144424420000 has 120 divisors (see below), whose sum is σ = 7737847996032. Its totient is φ = 1257429600000.

The previous prime is 3144424419937. The next prime is 3144424420009. The reversal of 3144424420000 is 244244413.

It is not an unprimeable number, because it can be changed into a prime (3144424420009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 81800785 + ... + 81839215.

Almost surely, 23144424420000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3144424420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3868923998016).

3144424420000 is an abundant number, since it is smaller than the sum of its proper divisors (4593423576032).

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

3144424420000 is an equidigital number, since it uses as much as digits as its factorization.

3144424420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42552 (or 42529 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 3144424420000 its reverse (244244413), we get a palindrome (3144668664413).

The spelling of 3144424420000 in words is "three trillion, one hundred forty-four billion, four hundred twenty-four million, four hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 4091 5000 8182 10000 16364 20000 20455 32728 38431 40910 65456 76862 81820 102275 130912 153724 163640 192155 204550 307448 327280 384310 409100 511375 614896 654560 768620 818200 960775 1022750 1229792 1537240 1636400 1921550 2045500 2556875 3074480 3272800 3843100 4091000 4803875 5113750 6148960 7686200 8182000 9607750 10227500 15372400 16364000 19215500 20455000 24019375 30744800 38431000 40910000 48038750 76862000 81820000 96077500 153724000 157221221 192155000 314442442 384310000 628884884 768620000 786106105 1257769768 1572212210 2515539536 3144424420 3930530525 5031079072 6288848840 7861061050 12577697680 15722122100 19652652625 25155395360 31444244200 39305305250 62888488400 78610610500 98263263125 125776976800 157221221000 196526526250 314442442000 393053052500 628884884000 786106105000 1572212210000 3144424420000