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44425725431744 = 266738951135209
BaseRepresentation
bin10100001100111101010111…
…00101010100111111000000
312211022001120012010102022202
422012132223211110333000
521310332341202303434
6234252521351452332
712233436614364446
oct1206365345247700
9184261505112282
1044425725431744
1113178931914728
124b960056870a8
131ba343560c997
14ad830643cb96
15520935cdaa7e
hex2867ab954fc0

44425725431744 has 112 divisors (see below), whose sum is σ = 89737855677600. Its totient is φ = 21816619646976.

The previous prime is 44425725431729. The next prime is 44425725431833. The reversal of 44425725431744 is 44713452752444.

It is a happy number.

44425725431744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 44425725431744.

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, 8528645012 + ... + 8528650220.

Almost surely, 244425725431744 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 44425725431744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44868927838800).

44425725431744 is an abundant number, since it is smaller than the sum of its proper divisors (45312130245856).

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

44425725431744 is a wasteful number, since it uses less digits than its factorization.

44425725431744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10790 (or 10780 counting only the distinct ones).

The product of its digits is 60211200, while the sum is 56.

The spelling of 44425725431744 in words is "forty-four trillion, four hundred twenty-five billion, seven hundred twenty-five million, four hundred thirty-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 67 134 268 389 536 778 1072 1556 2144 3112 4288 5113 5209 6224 10226 10418 12448 20452 20836 24896 26063 40904 41672 52126 81808 83344 104252 163616 166688 208504 327232 333376 342571 349003 417008 685142 698006 834016 1370284 1396012 1668032 1988957 2026301 2740568 2792024 3977914 4052602 5481136 5584048 7955828 8105204 10962272 11168096 15911656 16210408 21924544 22336192 26633617 31823312 32420816 53267234 63646624 64841632 106534468 127293248 129683264 133260119 135762167 213068936 266520238 271524334 426137872 533040476 543048668 852275744 1066080952 1086097336 1704551488 1784452339 2132161904 2172194672 3568904678 4264323808 4344389344 7137809356 8528647616 8688778688 10360477013 14275618712 20720954026 28551237424 41441908052 57102474848 82883816104 114204949696 165767632208 331535264416 663070528832 694151959871 1388303919742 2776607839484 5553215678968 11106431357936 22212862715872 44425725431744