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114242211551440 = 2457672713032569
BaseRepresentation
bin11001111110011100010110…
…011100000001100011010000
3112222111110010011000011021201
4121332130112130001203100
5104433221022124121230
61042550051504000544
733030504333660430
oct3176342634014320
9488443104004251
10114242211551440
1133445939150365
1210990aa5600154
134b98cc06b5a1b
14202d4d15362c0
15d31a7e8785ca
hex67e7167018d0

114242211551440 has 80 divisors (see below), whose sum is σ = 303562488971520. Its totient is φ = 39168163077120.

The previous prime is 114242211551393. The next prime is 114242211551497. The reversal of 114242211551440 is 44155112242411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 114242211551440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36155476 + ... + 39188044.

It is an arithmetic number, because the mean of its divisors is an integer number (3794531112144).

Almost surely, 2114242211551440 is an apocalyptic number.

114242211551440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114242211551440 is an abundant number, since it is smaller than the sum of its proper divisors (189320277420080).

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

114242211551440 is a wasteful number, since it uses less digits than its factorization.

114242211551440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3099860 (or 3099854 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 37.

Adding to 114242211551440 its reverse (44155112242411), we get a palindrome (158397323793851).

The spelling of 114242211551440 in words is "one hundred fourteen trillion, two hundred forty-two billion, two hundred eleven million, five hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 67271 134542 269084 336355 470897 538168 672710 941794 1076336 1345420 1883588 2354485 2690840 3032569 3767176 4708970 5381680 6065138 7534352 9417940 12130276 15162845 18835880 21227983 24260552 30325690 37671760 42455966 48521104 60651380 84911932 106139915 121302760 169823864 212279830 242605520 339647728 424559660 849119320 1698238640 204003949199 408007898398 816015796796 1020019745995 1428027644393 1632031593592 2040039491990 2856055288786 3264063187184 4080078983980 5712110577572 7140138221965 8160157967960 11424221155144 14280276443930 16320315935920 22848442310288 28560552887860 57121105775720 114242211551440