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127130530944 = 2731918196269
BaseRepresentation
bin111011001100110010…
…0011111010010000000
3110011010221112010002010
41312121210133102000
54040330403442234
6134223012252520
712120261453234
oct1663144372200
9404127463063
10127130530944
1149a089635aa
122077b911140
13bcb0563651
1462203605c4
153490ea56e9
hex1d9991f480

127130530944 has 128 divisors (see below), whose sum is σ = 357431256000. Its totient is φ = 39924264960.

The previous prime is 127130530931. The next prime is 127130530951. The reversal of 127130530944 is 449035031721.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1271305309442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1272442 + ... + 1368710.

Almost surely, 2127130530944 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 127130530944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178715628000).

127130530944 is an abundant number, since it is smaller than the sum of its proper divisors (230300725056).

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

127130530944 is a wasteful number, since it uses less digits than its factorization.

127130530944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96486 (or 96474 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 127130530944 in words is "one hundred twenty-seven billion, one hundred thirty million, five hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 181 192 228 304 362 384 456 543 608 724 912 1086 1216 1448 1824 2172 2432 2896 3439 3648 4344 5792 6878 7296 8688 10317 11584 13756 17376 20634 23168 27512 34752 41268 55024 69504 82536 96269 110048 165072 192538 220096 288807 330144 385076 440192 577614 660288 770152 1155228 1320576 1540304 1829111 2310456 3080608 3658222 4620912 5487333 6161216 7316444 9241824 10974666 12322432 14632888 17424689 18483648 21949332 29265776 34849378 36967296 43898664 52274067 58531552 69698756 87797328 104548134 117063104 139397512 175594656 209096268 234126208 278795024 331069091 351189312 418192536 557590048 662138182 702378624 836385072 993207273 1115180096 1324276364 1672770144 1986414546 2230360192 2648552728 3345540288 3972829092 5297105456 6691080576 7945658184 10594210912 15891316368 21188421824 31782632736 42376843648 63565265472 127130530944