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44400707037040 = 2455912297654133
BaseRepresentation
bin10100001100001110110000…
…10111101110011101110000
312211012122222121121021201111
422012013120113232131300
521304430122000141130
6234233223032443104
712231562624501264
oct1206073027563560
9184178877537644
1044400707037040
1113169263664472
124b911a2b49494
131ba0c79335933
14ad70118680a4
1551ee6e6d302a
hex2861d85ee770

44400707037040 has 80 divisors (see below), whose sum is σ = 105066766591200. Its totient is φ = 17445052722176.

The previous prime is 44400707036923. The next prime is 44400707037061. The reversal of 44400707037040 is 4073070700444.

44400707037040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 44400707036984 and 44400707037002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1973814 + ... + 9627946.

It is an arithmetic number, because the mean of its divisors is an integer number (1313334582390).

Almost surely, 244400707037040 is an apocalyptic number.

44400707037040 is a gapful number since it is divisible by the number (40) 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 44400707037040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52533383295600).

44400707037040 is an abundant number, since it is smaller than the sum of its proper divisors (60666059554160).

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

44400707037040 is a wasteful number, since it uses less digits than its factorization.

44400707037040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7655434 (or 7655428 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 40.

Adding to 44400707037040 its reverse (4073070700444), we get a palindrome (48473777737484).

The spelling of 44400707037040 in words is "forty-four trillion, four hundred billion, seven hundred seven million, thirty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 59 80 118 236 295 472 590 944 1180 1229 2360 2458 4720 4916 6145 9832 12290 19664 24580 49160 72511 98320 145022 290044 362555 580088 725110 1160176 1450220 2900440 5800880 7654133 15308266 30616532 38270665 61233064 76541330 122466128 153082660 306165320 451593847 612330640 903187694 1806375388 2257969235 3612750776 4515938470 7225501552 9031876940 9406929457 18063753880 18813858914 36127507760 37627717828 47034647285 75255435656 94069294570 150510871312 188138589140 376277178280 555008837963 752554356560 1110017675926 2220035351852 2775044189815 4440070703704 5550088379630 8880141407408 11100176759260 22200353518520 44400707037040