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2044004040400 = 245271861392263
BaseRepresentation
bin11101101111101000001…
…000100111111011010000
321020101221011012201022011
4131233220020213323100
5231442110013243100
64203000312152304
7300450216451030
oct35575010477320
97211834181264
102044004040400
11718947aa2723
12290184998694
1311a9970213ba
1470d04b438c0
1538281286bba
hex1dbe8227ed0

2044004040400 has 120 divisors (see below), whose sum is σ = 5615281126784. Its totient is φ = 700423027200.

The previous prime is 2044004040389. The next prime is 2044004040517. The reversal of 2044004040400 is 40404004402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5014669 + ... + 5406931.

Almost surely, 22044004040400 is an apocalyptic number.

2044004040400 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 2044004040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807640563392).

2044004040400 is an abundant number, since it is smaller than the sum of its proper divisors (3571277086384).

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

2044004040400 is a wasteful number, since it uses less digits than its factorization.

2044004040400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394149 (or 394138 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 2044004040400 its reverse (40404004402), we get a palindrome (2084408044802).

The spelling of 2044004040400 in words is "two trillion, forty-four billion, four million, forty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 1861 2800 3722 7444 9305 13027 14888 18610 26054 29776 37220 46525 52108 65135 74440 93050 104216 130270 148880 186100 208432 260540 325675 372200 392263 521080 651350 744400 784526 1042160 1302700 1569052 1961315 2605400 2745841 3138104 3922630 5210800 5491682 6276208 7845260 9806575 10983364 13729205 15690520 19613150 21966728 27458410 31381040 39226300 43933456 54916820 68646025 78452600 109833640 137292050 156905200 219667280 274584100 549168200 730001443 1098336400 1460002886 2920005772 3650007215 5110010101 5840011544 7300014430 10220020202 11680023088 14600028860 18250036075 20440040404 25550050505 29200057720 36500072150 40880080808 51100101010 58400115440 73000144300 81760161616 102200202020 127750252525 146000288600 204400404040 255500505050 292000577200 408800808080 511001010100 1022002020200 2044004040400