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2141242344 = 233317583127
BaseRepresentation
bin111111110100000…
…1100001111101000
312112020010101022000
41333220030033220
513341124223334
6552250131000
7104030155023
oct17750141750
95466111260
102141242344
119a974807a
124b9120a60
132817cb007
141645441ba
15c7eb2299
hex7fa0c3e8

2141242344 has 64 divisors (see below), whose sum is σ = 6297782400. Its totient is φ = 671761152.

The previous prime is 2141242333. The next prime is 2141242349. The reversal of 2141242344 is 4432421412.

It is a super-2 number, since 2×21412423442 = 9169837551477228672, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2141242349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 287892 + ... + 295235.

It is an arithmetic number, because the mean of its divisors is an integer number (98402850).

Almost surely, 22141242344 is an apocalyptic number.

2141242344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2141242344 is an abundant number, since it is smaller than the sum of its proper divisors (4156540056).

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

2141242344 is a wasteful number, since it uses less digits than its factorization.

2141242344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583159 (or 583149 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 2141242344 is about 46273.5598803464. The cubic root of 2141242344 is about 1288.9080646220.

Adding to 2141242344 its reverse (4432421412), we get a palindrome (6573663756).

The spelling of 2141242344 in words is "two billion, one hundred forty-one million, two hundred forty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 583127 1166254 1749381 2332508 3498762 4665016 5248143 6997524 9913159 10496286 13995048 15744429 19826318 20992572 29739477 31488858 39652636 41985144 59478954 62977716 79305272 89218431 118957908 125955432 178436862 237915816 267655293 356873724 535310586 713747448 1070621172 2141242344