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40242404132 = 22729415322807
BaseRepresentation
bin100101011110101000…
…100101101100100100
310211212120011221110022
4211132220211230210
51124404023413012
630253114214312
72623146535250
oct453650455444
9124776157408
1040242404132
1116080873937
127971124398
133a44365768
141d3a86b260
1510a7e1a472
hex95ea25b24

40242404132 has 96 divisors (see below), whose sum is σ = 86903953920. Its totient is φ = 15938657280.

The previous prime is 40242404129. The next prime is 40242404143. The reversal of 40242404132 is 23140424204.

It is a happy number.

It is an unprimeable number.

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, 1753073 + ... + 1775879.

It is an arithmetic number, because the mean of its divisors is an integer number (905249520).

Almost surely, 240242404132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40242404132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43451976960).

40242404132 is an abundant number, since it is smaller than the sum of its proper divisors (46661549788).

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

40242404132 is a wasteful number, since it uses less digits than its factorization.

40242404132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22941 (or 22939 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 40242404132 its reverse (23140424204), we get a palindrome (63382828336).

The spelling of 40242404132 in words is "forty billion, two hundred forty-two million, four hundred four thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 29 41 53 58 82 106 116 164 203 212 287 371 406 574 742 812 1148 1189 1484 1537 2173 2378 3074 4346 4756 6148 8323 8692 10759 15211 16646 21518 22807 30422 33292 43036 45614 60844 63017 91228 126034 159649 252068 319298 441119 638596 661403 882238 935087 1208771 1322806 1764476 1870174 2417542 2645612 3740348 4629821 4835084 6545609 8461397 9259642 13091218 16922794 18519284 26182436 27117523 33845588 35054359 49559611 54235046 70108718 99119222 108470092 140217436 189822661 198238444 245380513 346917277 379645322 490761026 693834554 759290644 981522052 1387669108 1437228719 2874457438 5748914876 10060601033 20121202066 40242404132