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1400103311334 = 2372132857128221
BaseRepresentation
bin10100010111111100101…
…010010001011111100110
311221211220121101112222120
4110113330222101133212
5140414402421430314
62551110521010410
7203103602533200
oct24277452213746
94854817345876
101400103311334
1149a864900662
121a7423923a06
13a204c139940
144baa021d770
152664726a8a9
hex145fca917e6

1400103311334 has 96 divisors (see below), whose sum is σ = 3509206366176. Its totient is φ = 369125890560.

The previous prime is 1400103311333. The next prime is 1400103311351. The reversal of 1400103311334 is 4331133010041.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1400103311333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10855344 + ... + 10983564.

It is an arithmetic number, because the mean of its divisors is an integer number (36554232981).

Almost surely, 21400103311334 is an apocalyptic number.

1400103311334 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400103311334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1754603183088).

1400103311334 is an abundant number, since it is smaller than the sum of its proper divisors (2109103054842).

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

1400103311334 is a wasteful number, since it uses less digits than its factorization.

1400103311334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131110 (or 131103 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1400103311334 its reverse (4331133010041), we get a palindrome (5731236321375).

The spelling of 1400103311334 in words is "one trillion, four hundred billion, one hundred three million, three hundred eleven thousand, three hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1911 2857 3822 5714 8571 17142 19999 37141 39998 59997 74282 111423 119994 128221 139993 222846 256442 259987 279986 384663 419979 519974 769326 779961 839958 897547 1559922 1666873 1795094 1819909 2692641 3333746 3639818 5000619 5385282 5459727 6282829 10001238 10919454 11668111 12565658 18848487 23336222 35004333 37696974 70008666 81676777 163353554 245030331 366327397 490060662 732654794 1098982191 2197964382 2564291779 4762256161 5128583558 7692875337 9524512322 14286768483 15385750674 17950042453 28573536966 33335793127 35900084906 53850127359 66671586254 100007379381 107700254718 200014758762 233350551889 466701103778 700051655667 1400103311334