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44452001400 = 23352409181141
BaseRepresentation
bin101001011001100010…
…111011011001111000
311020201221021122022020
4221121202323121320
51212014203021100
632230532354440
73132363530502
oct513142733170
9136657248266
1044452001400
1117940aa5644
128746a75a20
134265521911
142219980d72
1512527935a0
hexa598bb678

44452001400 has 96 divisors (see below), whose sum is σ = 138138889200. Its totient is φ = 11824819200.

The previous prime is 44452001389. The next prime is 44452001413. The reversal of 44452001400 is 410025444.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154830 + ... + 335970.

Almost surely, 244452001400 is an apocalyptic number.

44452001400 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 44452001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69069444600).

44452001400 is an abundant number, since it is smaller than the sum of its proper divisors (93686887800).

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

44452001400 is a wasteful number, since it uses less digits than its factorization.

44452001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181569 (or 181560 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 44452001400 its reverse (410025444), we get a palindrome (44862026844).

The spelling of 44452001400 in words is "forty-four billion, four hundred fifty-two million, one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 409 600 818 1227 1636 2045 2454 3272 4090 4908 6135 8180 9816 10225 12270 16360 20450 24540 30675 40900 49080 61350 81800 122700 181141 245400 362282 543423 724564 905705 1086846 1449128 1811410 2173692 2717115 3622820 4347384 4528525 5434230 7245640 9057050 10868460 13585575 18114100 21736920 27171150 36228200 54342300 74086669 108684600 148173338 222260007 296346676 370433345 444520014 592693352 740866690 889040028 1111300035 1481733380 1778080056 1852166725 2222600070 2963466760 3704333450 4445200140 5556500175 7408666900 8890400280 11113000350 14817333800 22226000700 44452001400