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342095142420 = 22355371902431
BaseRepresentation
bin1001111101001100111…
…01011001111000010100
31012201000012100211100000
410332212131121320110
521101102324024140
6421053434051300
733500302506153
oct4764635317024
91181005324300
10342095142420
111220998758a9
1256372b79b30
132634ac8acc5
14127b3a9359a
158d7309da30
hex4fa6759e14

342095142420 has 144 divisors (see below), whose sum is σ = 1105206455808. Its totient is φ = 88759774080.

The previous prime is 342095142377. The next prime is 342095142421. The reversal of 342095142420 is 24241590243.

It is a happy number.

342095142420 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 95 + 142 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (342095142421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 771396 + ... + 1131035.

It is an arithmetic number, because the mean of its divisors is an integer number (7675044832).

Almost surely, 2342095142420 is an apocalyptic number.

342095142420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

342095142420 is an abundant number, since it is smaller than the sum of its proper divisors (763111313388).

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

342095142420 is a wasteful number, since it uses less digits than its factorization.

342095142420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902492 (or 1902478 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 342095142420 in words is "three hundred forty-two billion, ninety-five million, one hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 81 90 108 111 135 148 162 180 185 222 243 270 324 333 370 405 444 486 540 555 666 740 810 972 999 1110 1215 1332 1620 1665 1998 2220 2430 2997 3330 3996 4860 4995 5994 6660 8991 9990 11988 14985 17982 19980 29970 35964 44955 59940 89910 179820 1902431 3804862 5707293 7609724 9512155 11414586 17121879 19024310 22829172 28536465 34243758 38048620 51365637 57072930 68487516 70389947 85609395 102731274 114145860 140779894 154096911 171218790 205462548 211169841 256828185 281559788 308193822 342437580 351949735 422339682 462290733 513656370 616387644 633509523 703899470 770484555 844679364 924581466 1027312740 1055849205 1267019046 1407798940 1540969110 1849162932 1900528569 2111698410 2311453665 2534038092 3081938220 3167547615 3801057138 4223396820 4622907330 5701585707 6335095230 7602114276 9245814660 9502642845 11403171414 12670190460 17104757121 19005285690 22806342828 28507928535 34209514242 38010571380 57015857070 68419028484 85523785605 114031714140 171047571210 342095142420