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44000454144 = 293195328447
BaseRepresentation
bin101000111110101000…
…011010011000000000
311012120110121122220210
4220332220122120000
51210103104013034
632114042234120
73115241455263
oct507650323000
9135513548823
1044000454144
111772a122499
12863b7b5940
1341c2b028aa
1421b59dccda
151227ceb8e9
hexa3ea1a600

44000454144 has 160 divisors (see below), whose sum is σ = 125721953280. Its totient is φ = 13632233472.

The previous prime is 44000454139. The next prime is 44000454167. The reversal of 44000454144 is 44145400044.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1532529 + ... + 1560975.

It is an arithmetic number, because the mean of its divisors is an integer number (785762208).

Almost surely, 244000454144 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 44000454144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62860976640).

44000454144 is an abundant number, since it is smaller than the sum of its proper divisors (81721499136).

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

44000454144 is a wasteful number, since it uses less digits than its factorization.

44000454144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28540 (or 28524 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 30.

Adding to 44000454144 its reverse (44145400044), we get a palindrome (88145854188).

The spelling of 44000454144 in words is "forty-four billion, four hundred fifty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 53 57 64 76 96 106 114 128 152 159 192 212 228 256 304 318 384 424 456 512 608 636 768 848 912 1007 1216 1272 1536 1696 1824 2014 2432 2544 3021 3392 3648 4028 4864 5088 6042 6784 7296 8056 9728 10176 12084 13568 14592 16112 20352 24168 27136 28447 29184 32224 40704 48336 56894 64448 81408 85341 96672 113788 128896 170682 193344 227576 257792 341364 386688 455152 515584 540493 682728 773376 910304 1080986 1365456 1507691 1546752 1621479 1820608 2161972 2730912 3015382 3242958 3641216 4323944 4523073 5461824 6030764 6485916 7282432 8647888 9046146 10923648 12061528 12971832 14564864 17295776 18092292 21847296 24123056 25943664 28646129 34591552 36184584 43694592 48246112 51887328 57292258 69183104 72369168 85938387 96492224 103774656 114584516 138366208 144738336 171876774 192984448 207549312 229169032 276732416 289476672 343753548 385968896 415098624 458338064 578953344 687507096 771937792 830197248 916676128 1157906688 1375014192 1833352256 2315813376 2750028384 3666704512 5500056768 7333409024 11000113536 14666818048 22000227072 44000454144