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44120023040 = 21354572357
BaseRepresentation
bin101001000101110000…
…100010000000000000
311012212210121101121102
4221011300202000000
51210324211214130
632133553113532
73121223002532
oct510560420000
9135783541542
1044120023040
111779066a365
1286738588a8
134211808512
1421c7845852
151233569645
hexa45c22000

44120023040 has 112 divisors (see below), whose sum is σ = 106158301272. Its totient is φ = 17601921024.

The previous prime is 44120023027. The next prime is 44120023049. The reversal of 44120023040 is 4032002144.

It can be written as a sum of positive squares in 4 ways, for example, as 36398534656 + 7721488384 = 190784^2 + 87872^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (44120023049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18717542 + ... + 18719898.

Almost surely, 244120023040 is an apocalyptic number.

44120023040 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 44120023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53079150636).

44120023040 is an abundant number, since it is smaller than the sum of its proper divisors (62038278232).

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

44120023040 is an equidigital number, since it uses as much as digits as its factorization.

44120023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2821 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 44120023040 its reverse (4032002144), we get a palindrome (48152025184).

The spelling of 44120023040 in words is "forty-four billion, one hundred twenty million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 457 512 640 914 1024 1280 1828 2048 2285 2357 2560 3656 4096 4570 4714 5120 7312 8192 9140 9428 10240 11785 14624 18280 18856 20480 23570 29248 36560 37712 40960 47140 58496 73120 75424 94280 116992 146240 150848 188560 233984 292480 301696 377120 467968 584960 603392 754240 935936 1077149 1169920 1206784 1508480 1871872 2154298 2339840 2413568 3016960 3743744 4308596 4679680 4827136 5385745 6033920 8617192 9359360 9654272 10771490 12067840 17234384 18718720 19308544 21542980 24135680 34468768 43085960 48271360 68937536 86171920 96542720 137875072 172343840 275750144 344687680 551500288 689375360 1103000576 1378750720 2206001152 2757501440 4412002304 5515002880 8824004608 11030005760 22060011520 44120023040