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2141321424 = 2431137109609
BaseRepresentation
bin111111110100001…
…1111100011010000
312112020021101202220
41333220133203100
513341134241144
6552251541040
7104030634414
oct17750374320
95466241686
102141321424
119a97a1530
124b915a780
13281827cc8
14164564d44
15c7eca919
hex7fa1f8d0

2141321424 has 80 divisors (see below), whose sum is σ = 6197787840. Its totient is φ = 631342080.

The previous prime is 2141321389. The next prime is 2141321443. The reversal of 2141321424 is 4241231412.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 2141321394 and 2141321403.

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, 35269 + ... + 74340.

It is an arithmetic number, because the mean of its divisors is an integer number (77472348).

Almost surely, 22141321424 is an apocalyptic number.

2141321424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2141321424 is an abundant number, since it is smaller than the sum of its proper divisors (4056466416).

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

2141321424 is a wasteful number, since it uses less digits than its factorization.

2141321424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109668 (or 109662 counting only the distinct ones).

The product of its digits is 1536, while the sum is 24.

The square root of 2141321424 is about 46274.4143560996. The cubic root of 2141321424 is about 1288.9239316715.

Adding to 2141321424 its reverse (4241231412), we get a palindrome (6382552836).

The spelling of 2141321424 in words is "two billion, one hundred forty-one million, three hundred twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 6512 9768 19536 109609 219218 328827 438436 657654 876872 1205699 1315308 1753744 2411398 2630616 3617097 4055533 4822796 5261232 7234194 8111066 9645592 12166599 14468388 16222132 19291184 24333198 28936776 32444264 44610863 48666396 57873552 64888528 89221726 97332792 133832589 178443452 194665584 267665178 356886904 535330356 713773808 1070660712 2141321424