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142117018071220 = 225192417001221659
BaseRepresentation
bin100000010100000100110010…
…011000001111000010110100
3200122012020212100020022210001
4200110010302120033002310
5122111421123111234340
61222131353511241044
741635421123010463
oct4024046230170264
9618166770208701
10142117018071220
11413125417999a5
1213b33291979184
13613b76743411a
1427147010629da
151166bca79a29a
hex81413260f0b4

142117018071220 has 96 divisors (see below), whose sum is σ = 315503431689600. Its totient is φ = 53623503360000.

The previous prime is 142117018071181. The next prime is 142117018071221. The reversal of 142117018071220 is 22170810711241.

It is a self number, because there is not a number n which added to its sum of digits gives 142117018071220.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142117018071221) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 641040751 + ... + 641262409.

It is an arithmetic number, because the mean of its divisors is an integer number (3286494080100).

Almost surely, 2142117018071220 is an apocalyptic number.

142117018071220 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 142117018071220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157751715844800).

142117018071220 is an abundant number, since it is smaller than the sum of its proper divisors (173386413618380).

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

142117018071220 is a wasteful number, since it uses less digits than its factorization.

142117018071220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228929 (or 228927 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 37.

Adding to 142117018071220 its reverse (22170810711241), we get a palindrome (164287828782461).

The spelling of 142117018071220 in words is "one hundred forty-two trillion, one hundred seventeen billion, eighteen million, seventy-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 241 380 482 964 1205 2410 4579 4820 7001 9158 14002 18316 22895 28004 35005 45790 70010 91580 133019 140020 221659 266038 443318 532076 665095 886636 1108295 1330190 1687241 2216590 2660380 3374482 4211521 4433180 6748964 8423042 8436205 16846084 16872410 21057605 32057579 33744820 42115210 53419819 64115158 84230420 106839638 128230316 160287895 213679276 267099095 320575790 534198190 641151580 1014976561 1068396380 1551834659 2029953122 3103669318 4059906244 5074882805 6207338636 7759173295 10149765610 15518346590 20299531220 29484858521 31036693180 58969717042 117939434084 147424292605 294848585210 373992152819 589697170420 747984305638 1495968611276 1869960764095 3739921528190 7105850903561 7479843056380 14211701807122 28423403614244 35529254517805 71058509035610 142117018071220