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1014232315012 = 227318917417541
BaseRepresentation
bin11101100001001001111…
…01001111010010000100
310120221220121000221100021
432300210331033102010
5113104121433040022
62053533142224524
7133163423301550
oct16604475172204
93527817027307
101014232315012
11361151778904
12144694425144
1374845a67607
1437136714860
151b5b0e887c7
hexec24f4f484

1014232315012 has 96 divisors (see below), whose sum is σ = 2118923089920. Its totient is φ = 415628928000.

The previous prime is 1014232315007. The next prime is 1014232315027. The reversal of 1014232315012 is 2105132324101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134491962 + ... + 134499502.

It is an arithmetic number, because the mean of its divisors is an integer number (22072115520).

Almost surely, 21014232315012 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 1014232315012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059461544960).

1014232315012 is an abundant number, since it is smaller than the sum of its proper divisors (1104690774908).

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

1014232315012 is a wasteful number, since it uses less digits than its factorization.

1014232315012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9413 (or 9411 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 1014232315012 its reverse (2105132324101), we get a palindrome (3119364639113).

The spelling of 1014232315012 in words is "one trillion, fourteen billion, two hundred thirty-two million, three hundred fifteen thousand, twelve".

Divisors: 1 2 4 7 14 28 31 62 89 124 178 217 356 434 623 868 1246 1741 2492 2759 3482 5518 6964 7541 11036 12187 15082 19313 24374 30164 38626 48748 52787 53971 77252 105574 107942 154949 211148 215884 233771 309898 377797 467542 619796 671149 755594 935084 1084643 1342298 1511188 1636397 2169286 2684596 3272794 4338572 4698043 4803419 6545588 9396086 9606838 13128881 18792172 19213676 20805619 26257762 33623933 41611238 52515524 67247866 83222476 91902167 134495732 145639333 183804334 291278666 367608668 406995311 582557332 813990622 1168470409 1627981244 2336940818 2848967177 4673881636 5697934354 8179292863 11395868708 16358585726 32717171452 36222582679 72445165358 144890330716 253558078753 507116157506 1014232315012