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3142345125220 = 22571131259157769
BaseRepresentation
bin101101101110100010010…
…111010110110101100100
3102010101221102201212012221
4231232202113112311210
5402441010323001340
610403323505322124
7443012145600130
oct55564227266544
912111842655187
103142345125220
11100172a9a2134
12429011036344
1319a425206652
14ac139b7c3c0
1556b1629c44a
hex2dba25d6d64

3142345125220 has 96 divisors (see below), whose sum is σ = 7614459820800. Its totient is φ = 1066986246144.

The previous prime is 3142345125041. The next prime is 3142345125221. The reversal of 3142345125220 is 225215432413.

It is not an unprimeable number, because it can be changed into a prime (3142345125221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19838496 + ... + 19996264.

It is an arithmetic number, because the mean of its divisors is an integer number (79317289800).

Almost surely, 23142345125220 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 3142345125220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3807229910400).

3142345125220 is an abundant number, since it is smaller than the sum of its proper divisors (4472114695580).

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

3142345125220 is a wasteful number, since it uses less digits than its factorization.

3142345125220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159157 (or 159155 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

The spelling of 3142345125220 in words is "three trillion, one hundred forty-two billion, three hundred forty-five million, one hundred twenty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 113 140 226 452 565 791 1130 1259 1582 2260 2518 3164 3955 5036 6295 7910 8813 12590 15820 17626 25180 35252 44065 88130 142267 157769 176260 284534 315538 569068 631076 711335 788845 995869 1104383 1422670 1577690 1991738 2208766 2845340 3155380 3983476 4417532 4979345 5521915 9958690 11043830 17827897 19917380 22087660 35655794 71311588 89139485 124795279 178278970 198631171 249590558 356557940 397262342 499181116 623976395 794524684 993155855 1247952790 1390418197 1986311710 2495905580 2780836394 3972623420 5561672788 6952090985 13904181970 22445322323 27808363940 44890644646 89781289292 112226611615 157117256261 224453223230 314234512522 448906446460 628469025044 785586281305 1571172562610 3142345125220