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41142032145 = 32517918128219
BaseRepresentation
bin100110010100010000…
…011001011100010001
310221012020222210002100
4212110100121130101
51133224330012040
630522252311013
72654352334404
oct462420313421
9127166883070
1041142032145
11164a2671765
127b82472469
133b5885ba26
141dc412bd3b
15110bdc1b30
hex994419711

41142032145 has 48 divisors (see below), whose sum is σ = 72110001600. Its totient is φ = 21698513280.

The previous prime is 41142032131. The next prime is 41142032203. The reversal of 41142032145 is 54123024114.

41142032145 is a `hidden beast` number, since 411 + 4 + 203 + 2 + 1 + 45 = 666.

It is not a de Polignac number, because 41142032145 - 27 = 41142032017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1443846 + ... + 1472064.

It is an arithmetic number, because the mean of its divisors is an integer number (1502291700).

Almost surely, 241142032145 is an apocalyptic number.

41142032145 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

41142032145 is a deficient number, since it is larger than the sum of its proper divisors (30967969455).

41142032145 is a wasteful number, since it uses less digits than its factorization.

41142032145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28590 (or 28587 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 41142032145 its reverse (54123024114), we get a palindrome (95265056259).

The spelling of 41142032145 in words is "forty-one billion, one hundred forty-two million, thirty-two thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 179 181 537 543 895 905 1611 1629 2685 2715 8055 8145 28219 32399 84657 97197 141095 161995 253971 291591 423285 485985 1269855 1457955 5051201 5107639 15153603 15322917 25256005 25538195 45460809 45968751 75768015 76614585 227304045 229843755 914267381 2742802143 4571336905 8228406429 13714010715 41142032145