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541142732031 = 311531817092411
BaseRepresentation
bin1111101111111101001…
…11101100110011111111
31220201210011112001101120
413313332213230303333
532331230014411111
61052333022442023
754045010220406
oct7677647546377
91821704461346
10541142732031
11199551a67a80
1288a63733313
133c04cb93225
141c29749463d
15e122ae2406
hex7dfe9eccff

541142732031 has 64 divisors (see below), whose sum is σ = 807871034880. Its totient is φ = 319415616000.

The previous prime is 541142732029. The next prime is 541142732149. The reversal of 541142732031 is 130237241145.

It is not a de Polignac number, because 541142732031 - 21 = 541142732029 is a prime.

It is a super-2 number, since 2×5411427320312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 541142731983 and 541142732001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (541142734031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224446216 + ... + 224448626.

It is an arithmetic number, because the mean of its divisors is an integer number (12622984920).

Almost surely, 2541142732031 is an apocalyptic number.

541142732031 is a deficient number, since it is larger than the sum of its proper divisors (266728302849).

541142732031 is a wasteful number, since it uses less digits than its factorization.

541142732031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368.

The product of its (nonzero) digits is 20160, while the sum is 33.

Adding to 541142732031 its reverse (130237241145), we get a palindrome (671379973176).

The spelling of 541142732031 in words is "five hundred forty-one billion, one hundred forty-two million, seven hundred thirty-two thousand, thirty-one".

Divisors: 1 3 11 33 53 159 181 543 583 709 1749 1991 2127 2411 5973 7233 7799 9593 23397 26521 28779 37577 79563 105523 112731 127783 128329 316569 383349 384987 413347 436391 1240041 1309173 1405613 1411619 1709399 4216839 4234857 4800301 5128197 6801437 14400903 18803389 20404311 23128723 56410167 69386169 74815807 90598147 224447421 254415953 271794441 309401219 763247859 928203657 996579617 2989738851 3403413409 10210240227 16398264607 49194793821 180380910677 541142732031