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1270342704141 = 34721748918301
BaseRepresentation
bin10010011111000110010…
…100110101110000001101
311111102222100220201120000
4102133012110311300031
5131303130213013031
62411330512514513
7160531163552100
oct22370624656015
94442870821500
101270342704141
1144a82737a925
1218624b24ba39
1392a3ca32774
14456b086c737
15230a04433e6
hex127c6535c0d

1270342704141 has 60 divisors (see below), whose sum is σ = 2207743356060. Its totient is φ = 725828947200.

The previous prime is 1270342704119. The next prime is 1270342704143. The reversal of 1270342704141 is 1414072430721.

1270342704141 is a `hidden beast` number, since 1 + 270 + 342 + 7 + 0 + 4 + 1 + 41 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6863294025 + 1263479410116 = 82845^2 + 1124046^2 .

It is not a de Polignac number, because 1270342704141 - 211 = 1270342702093 is a prime.

It is a super-2 number, since 2×12703427041412 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1270342704096 and 1270342704105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1270342704143) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 69404691 + ... + 69422991.

It is an arithmetic number, because the mean of its divisors is an integer number (36795722601).

Almost surely, 21270342704141 is an apocalyptic number.

It is an amenable number.

1270342704141 is a deficient number, since it is larger than the sum of its proper divisors (937400651919).

1270342704141 is a wasteful number, since it uses less digits than its factorization.

1270342704141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35816 (or 35800 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 1270342704141 in words is "one trillion, two hundred seventy billion, three hundred forty-two million, seven hundred four thousand, one hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 441 567 1323 3969 17489 18301 52467 54903 122423 128107 157401 164709 367269 384321 472203 494127 856961 896749 1101807 1152963 1416609 1482381 2570883 2690247 3305421 3458889 7712649 8070741 9916263 10376667 23137947 24212223 69413841 72636669 320066189 960198567 2240463323 2880595701 6721389969 8641787103 15683243261 20164169907 25925361309 47049729783 60492509721 141149189349 181477529163 423447568047 1270342704141