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44115939840 = 29357820609
BaseRepresentation
bin101001000101100000…
…111101001000000000
311012212111220221111210
4221011200331020000
51210322140033330
632133325410120
73121143205260
oct510540751000
9135774827453
1044115939840
1117789330615
128672409940
134210a08b1b
1421c70a17a0
15123300e8b0
hexa4583d200

44115939840 has 160 divisors (see below), whose sum is σ = 161180933760. Its totient is φ = 10083631104.

The previous prime is 44115939809. The next prime is 44115939841. The reversal of 44115939840 is 4893951144.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×441159398402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 44115939840.

It is not an unprimeable number, because it can be changed into a prime (44115939841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356545 + ... + 464064.

It is an arithmetic number, because the mean of its divisors is an integer number (1007380836).

Almost surely, 244115939840 is an apocalyptic number.

44115939840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44115939840 is an abundant number, since it is smaller than the sum of its proper divisors (117064993920).

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

44115939840 is an equidigital number, since it uses as much as digits as its factorization.

44115939840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820642 (or 820626 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 44115939840 in words is "forty-four billion, one hundred fifteen million, nine hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 256 280 320 336 384 420 448 480 512 560 640 672 768 840 896 960 1120 1280 1344 1536 1680 1792 1920 2240 2560 2688 3360 3584 3840 4480 5376 6720 7680 8960 10752 13440 17920 26880 53760 820609 1641218 2461827 3282436 4103045 4923654 5744263 6564872 8206090 9847308 11488526 12309135 13129744 16412180 17232789 19694616 22977052 24618270 26259488 28721315 32824360 34465578 39389232 45954104 49236540 52518976 57442630 65648720 68931156 78778464 86163945 91908208 98473080 105037952 114885260 131297440 137862312 157556928 172327890 183816416 196946160 210075904 229770520 262594880 275724624 315113856 344655780 367632832 393892320 420151808 459541040 525189760 551449248 630227712 689311560 735265664 787784640 919082080 1050379520 1102898496 1260455424 1378623120 1470531328 1575569280 1838164160 2100759040 2205796992 2757246240 2941062656 3151138560 3676328320 4411593984 5514492480 6302277120 7352656640 8823187968 11028984960 14705313280 22057969920 44115939840