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232444133141005 = 56771891098531181
BaseRepresentation
bin110100110110100000011101…
…111111000110101000001101
31010111000102221022000220002101
4310312200131333012220031
5220431331041041003010
62142211205520155101
766650351210642512
oct6466403577065015
91114012838026071
10232444133141005
1168078004396635
12220a1291a68a91
139c91506a1cb36
1441584db0c1309
151bd1612eea73a
hexd3681dfc6a0d

232444133141005 has 128 divisors (see below), whose sum is σ = 293564273587200. Its totient is φ = 176575317811200.

The previous prime is 232444133140951. The next prime is 232444133141009. The reversal of 232444133141005 is 500141331444232.

It is a de Polignac number, because none of the positive numbers 2k-232444133141005 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232444133141009) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 196819756515 + ... + 196819757695.

It is an arithmetic number, because the mean of its divisors is an integer number (2293470887400).

Almost surely, 2232444133141005 is an apocalyptic number.

It is an amenable number.

232444133141005 is a deficient number, since it is larger than the sum of its proper divisors (61120140446195).

232444133141005 is a wasteful number, since it uses less digits than its factorization.

232444133141005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375.

The product of its (nonzero) digits is 138240, while the sum is 37.

Adding to 232444133141005 its reverse (500141331444232), we get a palindrome (732585464585237).

The spelling of 232444133141005 in words is "two hundred thirty-two trillion, four hundred forty-four billion, one hundred thirty-three million, one hundred forty-one thousand, five".

Divisors: 1 5 67 71 89 109 335 355 445 545 853 1181 4265 4757 5905 5963 6319 7303 7739 9701 23785 29815 31595 36515 38695 48505 57151 60563 75917 79127 83851 92977 105109 128729 285755 302815 379585 395635 419255 423373 464885 518513 525545 643645 649967 688771 1007393 2116865 2592565 3249835 3443855 4057721 5036965 5086439 5390107 5618017 6229459 6601367 7042303 7462739 8274953 8624843 9139759 11456881 20288605 25432195 26950535 28090085 31147295 33006835 35211515 37313695 41374765 43124215 45698795 46147657 57284405 67495331 71524903 89657977 109805837 230738285 337476655 357624515 361137169 442291589 448289885 500003513 549029185 554421851 587521663 612363853 767611027 813438551 1805685845 2211457945 2500017565 2772109255 2937608315 3061819265 3838055135 4067192755 4792168501 6007084459 6365716367 7356991079 7796214427 9772719493 23960842505 30035422295 31828581835 36784955395 38981072135 39363951421 48863597465 54500382917 196819757105 272501914585 426502996589 522346366609 654772206031 693863084003 2132514982945 2611731833045 3273861030155 3469315420015 46488826628201 232444133141005