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44106541485204 = 223112322232832491
BaseRepresentation
bin10100000011101010110101…
…01111001100110010010100
312210011112200201012221020010
422001311122233030302110
521240120144110011304
6233450133200040220
712201410133532602
oct1201653257146224
9183145621187203
1044106541485204
111306552a8a4460
124b44187603070
131b7c2c91ba323
14ac6aa755c872
155174a4359789
hex281d5abccc94

44106541485204 has 144 divisors (see below), whose sum is σ = 117891126872064. Its totient is φ = 12727170667200.

The previous prime is 44106541485161. The next prime is 44106541485221. The reversal of 44106541485204 is 40258414560144.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14155399 + ... + 16987889.

It is an arithmetic number, because the mean of its divisors is an integer number (818688381056).

Almost surely, 244106541485204 is an apocalyptic number.

44106541485204 is a gapful number since it is divisible by the number (44) 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 44106541485204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58945563436032).

44106541485204 is an abundant number, since it is smaller than the sum of its proper divisors (73784585386860).

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

44106541485204 is a wasteful number, since it uses less digits than its factorization.

44106541485204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832778 (or 2832753 counting only the distinct ones).

The product of its (nonzero) digits is 2457600, while the sum is 48.

The spelling of 44106541485204 in words is "forty-four trillion, one hundred six billion, five hundred forty-one million, four hundred eighty-five thousand, two hundred four".

Divisors: 1 2 3 4 6 11 12 22 23 33 44 46 66 69 92 132 138 223 253 276 446 506 529 669 759 892 1012 1058 1338 1518 1587 2116 2453 2676 3036 3174 4906 5129 5819 6348 7359 9812 10258 11638 14718 15387 17457 20516 23276 29436 30774 34914 56419 61548 69828 112838 117967 169257 225676 235934 338514 353901 471868 677028 707802 1297637 1415604 2595274 2832491 3892911 5190548 5664982 7785822 8497473 11329964 15571644 16994946 31157401 33989892 62314802 65147293 93472203 124629604 130294586 186944406 195441879 260589172 373888812 390883758 631645493 716620223 781767516 1263290986 1433240446 1498387739 1894936479 2149860669 2526581972 2866480892 2996775478 3789872958 4299721338 4495163217 5993550956 6948100423 7579745916 8599442676 8990326434 13896200846 14527846339 16482265129 17980652868 20844301269 27792401692 29055692678 32964530258 41688602538 43583539017 49446795387 58111385356 65929060516 83377205076 87167078034 98893590774 159806309729 174334156068 197787181548 319612619458 334140465797 479418929187 639225238916 668280931594 958837858374 1002421397391 1336561863188 1917675716748 2004842794782 3675545123767 4009685589564 7351090247534 11026635371301 14702180495068 22053270742602 44106541485204