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244120123352 = 237172913167499
BaseRepresentation
bin1110001101011010110…
…0010111011111011000
3212100010011002011201002
43203112230113133120
512444424222421402
6304051445244132
723431344545150
oct3432654273730
9770104064632
10244120123352
1194592499966
123b38b403648
131a035b61241
14bb5b951760
15653ba0d602
hex38d6b177d8

244120123352 has 128 divisors (see below), whose sum is σ = 577368000000. Its totient is φ = 94346004480.

The previous prime is 244120123349. The next prime is 244120123363. The reversal of 244120123352 is 253321021442.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3582899 + ... + 3650397.

It is an arithmetic number, because the mean of its divisors is an integer number (4510687500).

Almost surely, 2244120123352 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 244120123352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288684000000).

244120123352 is an abundant number, since it is smaller than the sum of its proper divisors (333247876648).

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

244120123352 is a wasteful number, since it uses less digits than its factorization.

244120123352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67689 (or 67685 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

Adding to 244120123352 its reverse (253321021442), we get a palindrome (497441144794).

The spelling of 244120123352 in words is "two hundred forty-four billion, one hundred twenty million, one hundred twenty-three thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 17 28 29 34 56 58 68 116 119 131 136 203 232 238 262 406 476 493 524 812 917 952 986 1048 1624 1834 1972 2227 3451 3668 3799 3944 4454 6902 7336 7598 8908 13804 15196 15589 17816 26593 27608 30392 31178 53186 62356 64583 67499 106372 124712 129166 134998 212744 258332 269996 452081 472493 516664 539992 904162 944986 1147483 1808324 1889972 1957471 2294966 3616648 3779944 3914942 4589932 7829884 8032381 8842369 9179864 13702297 15659768 16064762 17684738 27404594 32129524 33277007 35369476 54809188 61896583 64259048 66554014 70738952 109618376 123793166 133108028 150320273 232939049 247586332 256428701 266216056 300640546 465878098 495172664 512857402 601281092 931756196 1025714804 1052241911 1202562184 1795000907 1863512392 2051429608 2104483822 3590001814 4208967644 4359287917 7180003628 8417935288 8718575834 14360007256 17437151668 30515015419 34874303336 61030030838 122060061676 244120123352