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11401214012032 = 271342971594529
BaseRepresentation
bin1010010111101000110101…
…0011111010101010000000
31111100221112012121020201211
42211322031103322222000
52443244141241341112
640125351224135504
72254465466052115
oct245721523725200
944327465536654
1011401214012032
1136a6256098539
12134176b607594
1364918c4215c0
142b5b70a7490c
1514b88995a0a7
hexa5e8d4faa80

11401214012032 has 64 divisors (see below), whose sum is σ = 24466245085800. Its totient is φ = 5260870877184.

The previous prime is 11401214012021. The next prime is 11401214012047. The reversal of 11401214012032 is 23021041210411.

It can be written as a sum of positive squares in 4 ways, for example, as 4813039250496 + 6588174761536 = 2193864^2 + 2566744^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 11401214011994 and 11401214012012.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6352944 + ... + 7947472.

Almost surely, 211401214012032 is an apocalyptic number.

It is an amenable number.

11401214012032 is an abundant number, since it is smaller than the sum of its proper divisors (13065031073768).

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

11401214012032 is a wasteful number, since it uses less digits than its factorization.

11401214012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598853 (or 1598841 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 11401214012032 its reverse (23021041210411), we get a palindrome (34422255222443).

The spelling of 11401214012032 in words is "eleven trillion, four hundred one billion, two hundred fourteen million, twelve thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 4297 8594 17188 34376 55861 68752 111722 137504 223444 275008 446888 550016 893776 1594529 1787552 3189058 3575104 6378116 7150208 12756232 20728877 25512464 41457754 51024928 82915508 102049856 165831016 204099712 331662032 663324064 1326648128 2653296256 6851691113 13703382226 27406764452 54813528904 89071984469 109627057808 178143968938 219254115616 356287937876 438508231232 712575875752 877016462464 1425151751504 2850303503008 5700607006016 11401214012032