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4010061432 = 2331347614483
BaseRepresentation
bin1110111100000100…
…1010111001111000
3101100110122020010210
43233001022321320
531203033431212
61501525311120
7201241650126
oct35701127170
911313566123
104010061432
111778636563
1293ab654a0
134bba35220
142a0812916
151870b153c
hexef04ae78

4010061432 has 128 divisors (see below), whose sum is σ = 11209282560. Its totient is φ = 1187550720.

The previous prime is 4010061413. The next prime is 4010061467. The reversal of 4010061432 is 2341600104.

It is a junction number, because it is equal to n+sod(n) for n = 4010061399 and 4010061408.

It is a congruent 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, 892263 + ... + 896745.

It is an arithmetic number, because the mean of its divisors is an integer number (87572520).

Almost surely, 24010061432 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 4010061432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604641280).

4010061432 is an abundant number, since it is smaller than the sum of its proper divisors (7199221128).

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

4010061432 is a wasteful number, since it uses less digits than its factorization.

4010061432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4613 (or 4609 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 4010061432 is about 63325.0458507532. The cubic root of 4010061432 is about 1588.7308982226.

Adding to 4010061432 its reverse (2341600104), we get a palindrome (6351661536).

The spelling of 4010061432 in words is "four billion, ten million, sixty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 47 52 61 78 94 104 122 141 156 183 188 244 282 312 366 376 488 564 611 732 793 1128 1222 1464 1586 1833 2379 2444 2867 3172 3666 4483 4758 4888 5734 6344 7332 8601 8966 9516 11468 13449 14664 17202 17932 19032 22936 26898 34404 35864 37271 53796 58279 68808 74542 107592 111813 116558 149084 174837 210701 223626 233116 273463 298168 349674 421402 447252 466232 546926 632103 699348 820389 842804 894504 1093852 1264206 1398696 1640778 1685608 2187704 2528412 2739113 3281556 3555019 5056824 5478226 6563112 7110038 8217339 10665057 10956452 12852761 14220076 16434678 21330114 21912904 25705522 28440152 32869356 38558283 42660228 51411044 65738712 77116566 85320456 102822088 154233132 167085893 308466264 334171786 501257679 668343572 1002515358 1336687144 2005030716 4010061432