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11342241405 = 3351131376659
BaseRepresentation
bin10101001000000110…
…01101111001111101
31002021110102120012000
422210003031321331
5141212103211110
65113251332513
7551033314125
oct124403157175
932243376160
1011342241405
1148a0443930
1222465b1139
1310b9ac5261
1479851bc85
15465b441c0
hex2a40cde7d

11342241405 has 128 divisors (see below), whose sum is σ = 23323852800. Its totient is φ = 5177260800.

The previous prime is 11342241347. The next prime is 11342241419. The reversal of 11342241405 is 50414224311.

11342241405 is a `hidden beast` number, since 1 + 1 + 34 + 224 + 1 + 405 = 666.

It is not a de Polignac number, because 11342241405 - 26 = 11342241341 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1699966 + ... + 1706624.

It is an arithmetic number, because the mean of its divisors is an integer number (182217600).

Almost surely, 211342241405 is an apocalyptic number.

11342241405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11342241405 is an abundant number, since it is smaller than the sum of its proper divisors (11981611395).

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

11342241405 is a wasteful number, since it uses less digits than its factorization.

11342241405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6752 (or 6746 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 11342241405 its reverse (50414224311), we get a palindrome (61756465716).

The spelling of 11342241405 in words is "eleven billion, three hundred forty-two million, two hundred forty-one thousand, four hundred five".

Divisors: 1 3 5 9 11 15 27 31 33 37 45 55 93 99 111 135 155 165 185 279 297 333 341 407 465 495 555 837 999 1023 1147 1221 1395 1485 1665 1705 2035 3069 3441 3663 4185 4995 5115 5735 6105 6659 9207 10323 10989 12617 15345 17205 18315 19977 30969 33295 37851 46035 51615 54945 59931 63085 73249 99885 113553 154845 179793 189255 206429 219747 246383 299655 340659 366245 567765 619287 659241 739149 898965 1032145 1098735 1231915 1703295 1857861 1977723 2217447 2270719 2710213 3096435 3296205 3695745 5573583 6652341 6812157 7637873 8130639 9289305 9888615 11087235 11353595 13551065 20436471 22913619 24391917 27867915 33261705 34060785 38189365 40653195 61309413 68740857 73175751 84016603 102182355 114568095 121959585 206222571 252049809 306547065 343704285 365878755 420083015 756149427 1031112855 1260249045 2268448281 3780747135 11342241405