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11342001040 = 2452310161031
BaseRepresentation
bin10101001000000100…
…10011001110010000
31002021102222100110121
422210002103032100
5141212023013130
65113242240024
7551031263266
oct124402231620
932242870417
1011342001040
1148a029a287
1222464b6014
1310b9a3ca26
14798498436
15465ae7d7a
hex2a4093390

11342001040 has 80 divisors (see below), whose sum is σ = 27789578496. Its totient is φ = 4296512000.

The previous prime is 11342001001. The next prime is 11342001043. The reversal of 11342001040 is 4010024311.

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

It is a super-2 number, since 2×113420010402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (11342001043) 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, 155325 + ... + 216355.

Almost surely, 211342001040 is an apocalyptic number.

11342001040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11342001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13894789248).

11342001040 is an abundant number, since it is smaller than the sum of its proper divisors (16447577456).

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

11342001040 is a wasteful number, since it uses less digits than its factorization.

11342001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61168 (or 61162 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 11342001040 its reverse (4010024311), we get a palindrome (15352025351).

The spelling of 11342001040 in words is "eleven billion, three hundred forty-two million, one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 101 115 184 202 230 368 404 460 505 808 920 1010 1616 1840 2020 2323 4040 4646 8080 9292 11615 18584 23230 37168 46460 61031 92920 122062 185840 244124 305155 488248 610310 976496 1220620 1403713 2441240 2807426 4882480 5614852 6164131 7018565 11229704 12328262 14037130 22459408 24656524 28074260 30820655 49313048 56148520 61641310 98626096 112297040 123282620 141775013 246565240 283550026 493130480 567100052 708875065 1134200104 1417750130 2268400208 2835500260 5671000520 11342001040