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1042471701072 = 243245735594451
BaseRepresentation
bin11110010101110000010…
…01111100101001010000
310200122210122102101102200
433022320021330221100
5114034440223413242
62114523242243200
7135213264153264
oct17127011745120
93618718371380
101042471701072
1137212310959a
1214a0557b6500
13773c644c8c9
1438654dba0a4
151c1b523904c
hexf2b827ca50

1042471701072 has 120 divisors (see below), whose sum is σ = 2925335474880. Its totient is φ = 346554892800.

The previous prime is 1042471701023. The next prime is 1042471701077. The reversal of 1042471701072 is 2701071742401.

It is a happy number.

1042471701072 is a `hidden beast` number, since 1 + 0 + 42 + 471 + 70 + 10 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042471701077) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 234208447 + ... + 234212897.

It is an arithmetic number, because the mean of its divisors is an integer number (24377795624).

Almost surely, 21042471701072 is an apocalyptic number.

1042471701072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1042471701072 is an abundant number, since it is smaller than the sum of its proper divisors (1882863773808).

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

1042471701072 is a wasteful number, since it uses less digits than its factorization.

1042471701072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8481 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 36.

The spelling of 1042471701072 in words is "one trillion, forty-two billion, four hundred seventy-one million, seven hundred one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 457 914 1371 1828 2742 3559 3656 4113 4451 5484 7118 7312 8226 8902 10677 10968 13353 14236 16452 17804 21354 21936 26706 28472 32031 32904 35608 40059 42708 53412 56944 64062 65808 71216 80118 85416 106824 128124 160236 170832 213648 256248 320472 512496 640944 1626463 2034107 3252926 4068214 4879389 6102321 6505852 8136428 9758778 12204642 13011704 14638167 15841109 16272856 18306963 19517556 24409284 26023408 29276334 31682218 32545712 36613926 39035112 47523327 48818568 58552668 63364436 73227852 78070224 95046654 97637136 117105336 126728872 142569981 146455704 190093308 234210672 253457744 285139962 292911408 380186616 570279924 760373232 1140559848 2281119696 7239386813 14478773626 21718160439 28957547252 43436320878 57915094504 65154481317 86872641756 115830189008 130308962634 173745283512 260617925268 347490567024 521235850536 1042471701072