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1353463632141 = 317294122320019
BaseRepresentation
bin10011101100100000101…
…110000001000100001101
311210101112012121100220220
4103230200232001010031
5134133343142212031
62513434514501553
7166533043024125
oct23544056010415
94711465540826
101353463632141
11482000a32345
1219a3882948b9
139a82860c22a
1449717ccbc85
15253178e1596
hex13b20b8110d

1353463632141 has 32 divisors (see below), whose sum is σ = 2024872214400. Its totient is φ = 799949445120.

The previous prime is 1353463632127. The next prime is 1353463632163. The reversal of 1353463632141 is 1412363643531.

It is not a de Polignac number, because 1353463632141 - 25 = 1353463632109 is a prime.

It is a super-3 number, since 3×13534636321413 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1353463632093 and 1353463632102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1353463632041) 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, 11099371 + ... + 11220648.

It is an arithmetic number, because the mean of its divisors is an integer number (63277256700).

Almost surely, 21353463632141 is an apocalyptic number.

It is an amenable number.

1353463632141 is a deficient number, since it is larger than the sum of its proper divisors (671408582259).

1353463632141 is a wasteful number, since it uses less digits than its factorization.

1353463632141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22320109.

The product of its digits is 466560, while the sum is 42.

The spelling of 1353463632141 in words is "one trillion, three hundred fifty-three billion, four hundred sixty-three million, six hundred thirty-two thousand, one hundred forty-one".

Divisors: 1 3 17 29 41 51 87 123 493 697 1189 1479 2091 3567 20213 60639 22320019 66960057 379440323 647280551 915120779 1138320969 1941841653 2745362337 11003769367 15557053243 26538502591 33011308101 46671159729 79615507773 451154544047 1353463632141