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130542442361420 = 225239728110411561
BaseRepresentation
bin11101101011101001000111…
…111001111011001001001100
3122010012201212021000100112012
4131223221013321323021030
5114102301410221031140
61141350211540200352
736332244262540145
oct3553510771731114
9563181767010465
10130542442361420
113865a814529a81
1212783bbb9990b8
1357ac13a78378b
1424344060b8acc
151015a96306265
hex76ba47e7b24c

130542442361420 has 96 divisors (see below), whose sum is σ = 290035798851456. Its totient is φ = 49255840972800.

The previous prime is 130542442361389. The next prime is 130542442361423. The reversal of 130542442361420 is 24163244245031.

It is not an unprimeable number, because it can be changed into a prime (130542442361423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7332440 + ... + 17744000.

It is an arithmetic number, because the mean of its divisors is an integer number (3021206238036).

Almost surely, 2130542442361420 is an apocalyptic number.

130542442361420 is a gapful number since it is divisible by the number (10) 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 130542442361420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145017899425728).

130542442361420 is an abundant number, since it is smaller than the sum of its proper divisors (159493356490036).

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

130542442361420 is a wasteful number, since it uses less digits than its factorization.

130542442361420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10411971 (or 10411969 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 41.

The spelling of 130542442361420 in words is "one hundred thirty trillion, five hundred forty-two billion, four hundred forty-two million, three hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 92 97 115 194 230 281 388 460 485 562 970 1124 1405 1940 2231 2810 4462 5620 6463 8924 11155 12926 22310 25852 27257 32315 44620 54514 64630 109028 129260 136285 272570 545140 626911 1253822 2507644 3134555 6269110 10411561 12538220 20823122 41646244 52057805 104115610 208231220 239465903 478931806 957863612 1009921417 1197329515 2019842834 2394659030 2925648641 4039685668 4789318060 5049607085 5851297282 10099214170 11702594564 14628243205 20198428340 23228192591 29256486410 46456385182 58512972820 67289918743 92912770364 116140962955 134579837486 232281925910 269159674972 283787918177 336449593715 464563851820 567575836354 672899187430 1135151672708 1345798374860 1418939590885 2837879181770 5675758363540 6527122118071 13054244236142 26108488472284 32635610590355 65271221180710 130542442361420