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44242091327712 = 2532965532425081
BaseRepresentation
bin10100000111100111010100…
…01000110100000011100000
312210122111120102011101112110
422003303222020310003200
521244330300334441322
6234032311451355320
712214246160302035
oct1203635210640340
9183574512141473
1044242091327712
1113107a69190393
124b664b6a52b40
131b8c01bb07325
14acd485b3738c
1551ac89535c0c
hex283cea2340e0

44242091327712 has 96 divisors (see below), whose sum is σ = 120158544955680. Its totient is φ = 14236655247360.

The previous prime is 44242091327711. The next prime is 44242091327767. The reversal of 44242091327712 is 21772319024244.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44242091327711) 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, 17031012 + ... + 19456092.

It is an arithmetic number, because the mean of its divisors is an integer number (1251651509955).

Almost surely, 244242091327712 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 44242091327712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60079272477840).

44242091327712 is an abundant number, since it is smaller than the sum of its proper divisors (75916453627968).

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

44242091327712 is a wasteful number, since it uses less digits than its factorization.

44242091327712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2431676 (or 2431668 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 44242091327712 in words is "forty-four trillion, two hundred forty-two billion, ninety-one million, three hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 6553 13106 19659 26212 39318 52424 78636 104848 157272 190037 209696 314544 380074 570111 629088 760148 1140222 1520296 2280444 2425081 3040592 4560888 4850162 6081184 7275243 9121776 9700324 14550486 18243552 19400648 29100972 38801296 58201944 70327349 77602592 116403888 140654698 210982047 232807776 281309396 421964094 562618792 843928188 1125237584 1687856376 2250475168 3375712752 6751425504 15891555793 31783111586 47674667379 63566223172 95349334758 127132446344 190698669516 254264892688 381397339032 460855117997 508529785376 762794678064 921710235994 1382565353991 1525589356128 1843420471988 2765130707982 3686840943976 5530261415964 7373681887952 11060522831928 14747363775904 22121045663856 44242091327712