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1051140442772 = 227375983207191
BaseRepresentation
bin11110100101111001101…
…10100100101010010100
310201111011210012002111002
433102330312210222110
5114210213423132042
62122515351402432
7135641145225560
oct17227466445224
93644153162432
101051140442772
11375871416532
1214b874983418
13781783a9474
1438c384026a0
151c5212d0132
hexf4bcda4a94

1051140442772 has 96 divisors (see below), whose sum is σ = 2222159063040. Its totient is φ = 425690916480.

The previous prime is 1051140442739. The next prime is 1051140442777. The reversal of 1051140442772 is 2772440411501.

It is a super-3 number, since 3×10511404427723 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051140442777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4969697 + ... + 5176887.

It is an arithmetic number, because the mean of its divisors is an integer number (23147490240).

Almost surely, 21051140442772 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 1051140442772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111079531520).

1051140442772 is an abundant number, since it is smaller than the sum of its proper divisors (1171018620268).

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

1051140442772 is a wasteful number, since it uses less digits than its factorization.

1051140442772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207381 (or 207379 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 38.

The spelling of 1051140442772 in words is "one trillion, fifty-one billion, one hundred forty million, four hundred forty-two thousand, seven hundred seventy-two".

Divisors: 1 2 4 7 14 28 37 59 74 83 118 148 166 236 259 332 413 518 581 826 1036 1162 1652 2183 2324 3071 4366 4897 6142 8732 9794 12284 15281 19588 21497 30562 34279 42994 61124 68558 85988 137116 181189 207191 362378 414382 724756 828764 1268323 1450337 2536646 2900674 5073292 5801348 7666067 12224269 15332134 17196853 24448538 30664268 34393706 48897076 53662469 68787412 85569883 107324938 120377971 171139766 214649876 240755942 342279532 452297953 481511884 636283561 904595906 1014614327 1272567122 1809191812 2029228654 2545134244 3166085671 4058457308 4453984927 6332171342 7102300289 8907969854 12664342684 14204600578 17815939708 28409201156 37540730099 75081460198 150162920396 262785110693 525570221386 1051140442772