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4140356352 = 283112571907
BaseRepresentation
bin1111011011001000…
…1101001100000000
3101200112210220011120
43312302031030000
531434412400402
61522502112240
7204413306526
oct36662151400
911615726146
104140356352
11183513a010
1297671b680
1350ca25002
142b3c4c316
1519374c3bc
hexf6c8d300

4140356352 has 144 divisors (see below), whose sum is σ = 12074251392. Its totient is φ = 1249116160.

The previous prime is 4140356309. The next prime is 4140356359. The reversal of 4140356352 is 2536530414.

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

It is not an unprimeable number, because it can be changed into a prime (4140356359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2170183 + ... + 2172089.

It is an arithmetic number, because the mean of its divisors is an integer number (83848968).

Almost surely, 24140356352 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 4140356352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6037125696).

4140356352 is an abundant number, since it is smaller than the sum of its proper divisors (7933895040).

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

4140356352 is a wasteful number, since it uses less digits than its factorization.

4140356352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2194 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The square root of 4140356352 is about 64345.6008752735. The cubic root of 4140356352 is about 1605.7548429643.

Adding to 4140356352 its reverse (2536530414), we get a palindrome (6676886766).

The spelling of 4140356352 in words is "four billion, one hundred forty million, three hundred fifty-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 257 264 352 384 514 528 704 768 771 1028 1056 1408 1542 1907 2056 2112 2816 2827 3084 3814 4112 4224 5654 5721 6168 7628 8224 8448 8481 11308 11442 12336 15256 16448 16962 20977 22616 22884 24672 30512 32896 33924 41954 45232 45768 49344 61024 62931 65792 67848 83908 90464 91536 98688 122048 125862 135696 167816 180928 183072 197376 244096 251724 271392 335632 361856 366144 488192 490099 503448 542784 671264 723712 732288 980198 1006896 1085568 1342528 1464576 1470297 1960396 2013792 2171136 2685056 2940594 3920792 4027584 5370112 5391089 5881188 7841584 8055168 10782178 11762376 15683168 16110336 16173267 21564356 23524752 31366336 32346534 43128712 47049504 62732672 64693068 86257424 94099008 125465344 129386136 172514848 188198016 258772272 345029696 376396032 517544544 690059392 1035089088 1380118784 2070178176 4140356352