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244044440442 = 232112331503673
BaseRepresentation
bin1110001101001000101…
…1101010001101111010
3212022220212200002021100
43203102023222031322
512444300334043232
6304040143152230
723426435342235
oct3432213521572
9768825602240
10244044440442
11945537a7200
123b369ba5676
131a023282b5a
14bb5189041c
15653505dc7c
hex38d22ea37a

244044440442 has 144 divisors (see below), whose sum is σ = 584985046464. Its totient is φ = 73473523200.

The previous prime is 244044440413. The next prime is 244044440449.

244044440442 is a `hidden beast` number, since 244 + 0 + 4 + 4 + 4 + 404 + 4 + 2 = 666.

244044440442 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 244044440397 and 244044440406.

It is not an unprimeable number, because it can be changed into a prime (244044440449) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 362621418 + ... + 362622090.

It is an arithmetic number, because the mean of its divisors is an integer number (4062396156).

Almost surely, 2244044440442 is an apocalyptic number.

244044440442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 244044440442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292492523232).

244044440442 is an abundant number, since it is smaller than the sum of its proper divisors (340940606022).

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

244044440442 is a wasteful number, since it uses less digits than its factorization.

244044440442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 36.

It can be divided in two parts, 244044 and 440442, that added together give a palindrome (684486).

The spelling of 244044440442 in words is "two hundred forty-four billion, forty-four million, four hundred forty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 331 363 503 662 673 726 993 1006 1089 1346 1509 1986 2019 2178 2979 3018 3641 4038 4527 5533 5958 6057 7282 7403 9054 10923 11066 12114 14806 16599 21846 22209 32769 33198 40051 44418 49797 60863 65538 66627 80102 81433 99594 120153 121726 133254 162866 166493 182589 222763 240306 244299 332986 338519 360459 365178 445526 488598 499479 547767 668289 677038 720918 732897 998958 1015557 1095534 1336578 1465794 1498437 1831423 2004867 2031114 2450393 2996874 3046671 3662846 3723709 4009734 4900786 5494269 6093342 7351179 7447418 10988538 11171127 14702358 16482807 20145653 22053537 22342254 26954323 32965614 33513381 40291306 40960799 44107074 53908646 60436959 67026762 80862969 81921598 112049789 120873918 122882397 161725938 181310877 224099578 242588907 245764794 336149367 362621754 368647191 485177814 672298734 737294382 1008448101 1232547679 2016896202 2465095358 3697643037 7395286074 11092929111 13558024469 22185858222 27116048938 40674073407 81348146814 122022220221 244044440442