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44441421704440 = 23523317288752783
BaseRepresentation
bin10100001101011010100110…
…01001110110110011111000
312211100120002002102200120221
422012231103021312303320
521311112012424020230
6234304035101225424
712234533600452435
oct1206552311666370
9184316062380527
1044441421704440
1113184556a6a722
124b99066262274
131ba4a674916c7
14ad8d94d0ab8c
15521053cd827a
hex286b53276cf8

44441421704440 has 128 divisors (see below), whose sum is σ = 104708119080960. Its totient is φ = 16943842865664.

The previous prime is 44441421704423. The next prime is 44441421704483. The reversal of 44441421704440 is 4440712414444.

It is a super-2 number, since 2×444414217044402 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 841938289 + ... + 841991071.

It is an arithmetic number, because the mean of its divisors is an integer number (818032180320).

Almost surely, 244441421704440 is an apocalyptic number.

44441421704440 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 44441421704440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52354059540480).

44441421704440 is an abundant number, since it is smaller than the sum of its proper divisors (60266697376520).

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

44441421704440 is a wasteful number, since it uses less digits than its factorization.

44441421704440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56021 (or 56017 counting only the distinct ones).

The product of its (nonzero) digits is 917504, while the sum is 43.

The spelling of 44441421704440 in words is "forty-four trillion, four hundred forty-one billion, four hundred twenty-one million, seven hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 92 115 184 230 317 460 634 920 1268 1585 2536 2887 3170 5774 6340 7291 11548 12680 14435 14582 23096 28870 29164 36455 52783 57740 58328 66401 72910 105566 115480 132802 145820 211132 263915 265604 291640 332005 422264 527830 531208 664010 915179 1055660 1214009 1328020 1830358 2111320 2428018 2656040 3660716 4575895 4856036 6070045 7321432 9151790 9712072 12140090 16732211 18303580 21049117 24280180 33464422 36607160 42098234 48560360 66928844 83661055 84196468 105245585 133857688 152384521 167322110 168392936 210491170 304769042 334644220 384840853 420982340 609538084 669288440 761922605 769681706 841964680 1219076168 1523845210 1539363412 1924204265 3047690420 3078726824 3504843983 3848408530 6095380840 7009687966 7696817060 14019375932 15393634120 17524219915 28038751864 35048439830 48305893157 70096879660 96611786314 140193759320 193223572628 241529465785 386447145256 483058931570 966117863140 1111035542611 1932235726280 2222071085222 4444142170444 5555177713055 8888284340888 11110355426110 22220710852220 44441421704440