Search a number
-
+
2114132213040 = 243513167243391
BaseRepresentation
bin11110110000111100000…
…110010111110100110000
321111002221111201222222120
4132300330012113310300
5234114220321304130
64255115142234240
7305512111210611
oct36607406276460
97432844658876
102114132213040
117456645787a1
122a1896725980
13124491b94843
14744787a1c08
1539ed7c64910
hex1ec3c197d30

2114132213040 has 80 divisors (see below), whose sum is σ = 6603839041536. Its totient is φ = 559465004800.

The previous prime is 2114132213023. The next prime is 2114132213047. The reversal of 2114132213040 is 403122314112.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2114132213040.

It is not an unprimeable number, because it can be changed into a prime (2114132213047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33590256 + ... + 33653135.

Almost surely, 22114132213040 is an apocalyptic number.

2114132213040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2114132213040 is an abundant number, since it is smaller than the sum of its proper divisors (4489706828496).

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

2114132213040 is a wasteful number, since it uses less digits than its factorization.

2114132213040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67243538 (or 67243532 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2114132213040 its reverse (403122314112), we get a palindrome (2517254527152).

The spelling of 2114132213040 in words is "two trillion, one hundred fourteen billion, one hundred thirty-two million, two hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 131 240 262 393 524 655 786 1048 1310 1572 1965 2096 2620 3144 3930 5240 6288 7860 10480 15720 31440 67243391 134486782 201730173 268973564 336216955 403460346 537947128 672433910 806920692 1008650865 1075894256 1344867820 1613841384 2017301730 2689735640 3227682768 4034603460 5379471280 8069206920 8808884221 16138413840 17617768442 26426652663 35235536884 44044421105 52853305326 70471073768 88088842210 105706610652 132133263315 140942147536 176177684420 211413221304 264266526630 352355368840 422826442608 528533053260 704710737680 1057066106520 2114132213040