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44114556114440 = 2357231726046019
BaseRepresentation
bin10100000011111001110000…
…11100100101011000001000
312210012022101021011021122222
422001330320130211120020
521240233102331130230
6233453540341233212
712202112553002600
oct1201747034453010
9183168337137588
1044114556114440
1113068972953a89
124b45843702808
131b7cca57830a6
14ac7227b53c00
155177c2c946e5
hex281f38725608

44114556114440 has 96 divisors (see below), whose sum is σ = 119187714643200. Its totient is φ = 14637087722880.

The previous prime is 44114556114403. The next prime is 44114556114443. The reversal of 44114556114440 is 4441165541144.

It is a super-2 number, since 2×441145561144402 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44114556114391 and 44114556114400.

It is not an unprimeable number, because it can be changed into a prime (44114556114443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362962250 + ... + 363083769.

It is an arithmetic number, because the mean of its divisors is an integer number (1241538694200).

Almost surely, 244114556114440 is an apocalyptic number.

44114556114440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44114556114440 is an abundant number, since it is smaller than the sum of its proper divisors (75073158528760).

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

44114556114440 is a wasteful number, since it uses less digits than its factorization.

44114556114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726046075 (or 726046064 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 44.

The spelling of 44114556114440 in words is "forty-four trillion, one hundred fourteen billion, five hundred fifty-six million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 49 56 62 70 98 124 140 155 196 217 245 248 280 310 392 434 490 620 868 980 1085 1240 1519 1736 1960 2170 3038 4340 6076 7595 8680 12152 15190 30380 60760 726046019 1452092038 2904184076 3630230095 5082322133 5808368152 7260460190 10164644266 14520920380 20329288532 22507426589 25411610665 29041840760 35576254931 40658577064 45014853178 50823221330 71152509862 90029706356 101646442660 112537132945 142305019724 157551986123 177881274655 180059412712 203292885320 225074265890 284610039448 315103972246 355762549310 450148531780 630207944492 711525098620 787759930615 900297063560 1102863902861 1260415888984 1423050197240 1575519861230 2205727805722 3151039722460 4411455611444 5514319514305 6302079444920 8822911222888 11028639028610 22057278057220 44114556114440