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1244106155124 = 22327411011192207
BaseRepresentation
bin10010000110101010100…
…000010110010001110100
311101221020220012221101100
4102012222200112101310
5130340412133430444
62351311240330100
7155612052556410
oct22065240262164
94357226187340
101244106155124
1143a693544268
12181148773930
139041b278c51
144430219dd40
1522566e15e69
hex121aa816474

1244106155124 has 144 divisors (see below), whose sum is σ = 3718201084416. Its totient is φ = 343355328000.

The previous prime is 1244106155107. The next prime is 1244106155143. The reversal of 1244106155124 is 4215516014421.

1244106155124 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 10 + 615 + 5 + 1 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 447429 + ... + 1639635.

It is an arithmetic number, because the mean of its divisors is an integer number (25820840864).

Almost surely, 21244106155124 is an apocalyptic number.

1244106155124 is a gapful number since it is divisible by the number (14) 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 1244106155124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859100542208).

1244106155124 is an abundant number, since it is smaller than the sum of its proper divisors (2474094929292).

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

1244106155124 is a wasteful number, since it uses less digits than its factorization.

1244106155124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192366 (or 1192361 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 1244106155124 in words is "one trillion, two hundred forty-four billion, one hundred six million, one hundred fifty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 101 123 126 164 202 246 252 287 303 369 404 492 574 606 707 738 861 909 1148 1212 1414 1476 1722 1818 2121 2583 2828 3444 3636 4141 4242 5166 6363 8282 8484 10332 12423 12726 16564 24846 25452 28987 37269 49692 57974 74538 86961 115948 149076 173922 260883 347844 521766 1043532 1192207 2384414 3576621 4768828 7153242 8345449 10729863 14306484 16690898 21459726 25036347 33381796 42919452 48880487 50072694 75109041 97760974 100145388 120412907 146641461 150218082 195521948 240825814 293282922 300436164 342163409 361238721 439924383 481651628 586565844 684326818 722477442 842890349 879848766 1026490227 1083716163 1368653636 1444954884 1685780698 1759697532 2052980454 2167432326 2528671047 3079470681 3371561396 4105960908 4334864652 4936929187 5057342094 6158941362 7586013141 9873858374 10114684188 12317882724 14810787561 15172026282 19747716748 29621575122 30344052564 34558504309 44432362683 59243150244 69117008618 88864725366 103675512927 138234017236 177729450732 207351025854 311026538781 414702051708 622053077562 1244106155124