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224042313429 = 321141791993511
BaseRepresentation
bin1101000010100111110…
…1100110011011010101
3210102021220010202022100
43100221331212123111
512132314313012204
6250531300152313
722120656146154
oct3205175463325
9712256122270
10224042313429
118701a055120
1237507398699
131818631203c
14abb51b359b
155c64022a39
hex3429f666d5

224042313429 has 96 divisors (see below), whose sum is σ = 368169984000. Its totient is φ = 130100256000.

The previous prime is 224042313419. The next prime is 224042313491. The reversal of 224042313429 is 924313240422.

224042313429 is a `hidden beast` number, since 2 + 240 + 42 + 31 + 342 + 9 = 666.

It is not a de Polignac number, because 224042313429 - 29 = 224042312917 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 224042313393 and 224042313402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224042313409) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63809784 + ... + 63813294.

It is an arithmetic number, because the mean of its divisors is an integer number (3835104000).

Almost surely, 2224042313429 is an apocalyptic number.

It is an amenable number.

224042313429 is a deficient number, since it is larger than the sum of its proper divisors (144127670571).

224042313429 is a wasteful number, since it uses less digits than its factorization.

224042313429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3847 (or 3844 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 224042313429 in words is "two hundred twenty-four billion, forty-two million, three hundred thirteen thousand, four hundred twenty-nine".

Divisors: 1 3 9 11 33 41 79 99 123 199 237 369 451 597 711 869 1353 1791 2189 2607 3239 3511 4059 6567 7821 8159 9717 10533 15721 19701 24477 29151 31599 35629 38621 47163 73431 89749 106887 115863 141489 143951 172931 269247 277369 320661 347589 431853 518793 644561 698689 807741 832107 1295559 1556379 1583461 1933683 2096067 2496321 3051059 4750383 5801049 6288201 7090171 7685579 9153177 11372129 14251149 21270513 23056737 27459531 28646249 34116387 55196431 63811539 69170211 85938747 102349161 125093419 165589293 257816241 315108739 375280257 496767879 607160741 945326217 1125840771 1821482223 2263053671 2835978651 5464446669 6789161013 20367483039 24893590381 74680771143 224042313429