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1139662117944 = 233371315753777
BaseRepresentation
bin10000100101011001001…
…001111101110000111000
311000221200000100010012000
4100211121021331300320
5122133012000233234
62231315322221000
7145223614111320
oct20453111756070
94027600303160
101139662117944
113aa367611269
12164a5a654760
1383614b5820c
143d234c40280
151e9a2994899
hex1095927dc38

1139662117944 has 128 divisors (see below), whose sum is σ = 3645593740800. Its totient is φ = 323132060160.

The previous prime is 1139662117939. The next prime is 1139662117963. The reversal of 1139662117944 is 4497112669311.

1139662117944 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 6 + 621 + 1 + 7 + 9 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2678817 + ... + 3074960.

It is an arithmetic number, because the mean of its divisors is an integer number (28481201100).

Almost surely, 21139662117944 is an apocalyptic number.

1139662117944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1139662117944 is an abundant number, since it is smaller than the sum of its proper divisors (2505931622856).

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

1139662117944 is a wasteful number, since it uses less digits than its factorization.

1139662117944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5753930 (or 5753920 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The spelling of 1139662117944 in words is "one trillion, one hundred thirty-nine billion, six hundred sixty-two million, one hundred seventeen thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 131 168 189 216 252 262 378 393 504 524 756 786 917 1048 1179 1512 1572 1834 2358 2751 3144 3537 3668 4716 5502 7074 7336 8253 9432 11004 14148 16506 22008 24759 28296 33012 49518 66024 99036 198072 5753777 11507554 17261331 23015108 34522662 40276439 46030216 51783993 69045324 80552878 103567986 120829317 138090648 155351979 161105756 207135972 241658634 310703958 322211512 362487951 414271944 483317268 621407916 724975902 753744787 966634536 1087463853 1242815832 1449951804 1507489574 2174927706 2261234361 2899903608 3014979148 4349855412 4522468722 5276213509 6029958296 6783703083 8699710824 9044937444 10552427018 13567406166 15828640527 18089874888 20351109249 21104854036 27134812332 31657281054 40702218498 42209708072 47485921581 54269624664 63314562108 81404436996 94971843162 126629124216 142457764743 162808873992 189943686324 284915529486 379887372648 569831058972 1139662117944